Meghan Markle feels 'at ease' with Queen Elizabeth and her new duchess role (Exclusive)

Meghan Markle is loving life as a royal!

It's already been over a month since the former Suits star tied the knot with Prince Harry at St. George's Chapel in Windsor, England, and now, the Duchess of Sussex is feeling excited about diving into her new role with full force.

"Meghan has been anxious to jump in and learn as much as possible," a royal source tells ET, adding that Markle will likely announce her first patronage soon. "She's ready to work as much as she can on as many projects as they will allow."

Markle will be spending "a great deal of time in the coming months" representing the royal family at various engagements that will allow her to work with young people around the world, the source says, which has actually been a longtime passion of hers even before she first laid eyes on Prince Harry.

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Meghan Markle makes first solo outing with Queen Elizabeth
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Meghan Markle makes first solo outing with Queen Elizabeth
WIDNES, CHESHIRE, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex arrive to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
WIDNES, CHESHIRE, ENGLAND - JUNE 14: Queen Elizabeth II laughs with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex arrive at Runcorn Train Station on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Neil Mockford/GC Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex arrive at Runcorn Train Station on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Neil Mockford/GC Images)
RUNCORN, CHESHIRE, ENGLAND - JUNE 14: Queen Elizabeth II is greeted with Meghan, Duchess of Sussex as they arrive by Royal Train at Runcorn Station to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Runcorn, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Peter Byrne - WPA Pool/Getty Images)
WIDNES, ENGLAND - JUNE 14: Queen Elizabeth II sits with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
WIDNES, ENGLAND - JUNE 14: Queen Elizabeth II sits with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
WIDNES, ENGLAND - JUNE 14: Queen Elizabeth II stands and laughs with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
WIDNES, ENGLAND - JUNE 14: Queen Elizabeth II sits and laughs with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II sitts and laughs with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II stands with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II sitts and laughs with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
WIDNES, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex during a visit to the Catalyst Museum by the Mersey Gateway Bridge on June 14, 2018 in Widnes, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex. This is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Mark Cuthbert/UK Press via Getty Images)
WIDNES, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex during a visit to the Catalyst Museum by the Mersey Gateway Bridge on June 14, 2018 in Widnes, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex. This is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Mark Cuthbert/UK Press via Getty Images)
RUNCORN, CHESHIRE, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex arrive by Royal Train at Runcorn Station to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Runcorn, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Peter Byrne - WPA Pool/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II sits with Meghan, Duchess of Sussex during a ceremony to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex arrive to open the new Mersey Gateway Bridge on June 14, 2018 in the town of Widnes in Halton, Cheshire, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Jeff J Mitchell/Getty Images)
CHESTER, ENGLAND - JUNE 14: Children look on as Queen Elizabeth II and Meghan, Duchess of Sussex arrive for their visit to the Storyhouse on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Phil Noble - WPA Pool/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex visits the Storyhouse on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Phil Noble - WPA Pool/Getty Images)
CHESTER, ENGLAND - JUNE 14: Queen Elizabeth II and Meghan, Duchess of Sussex visit Chester Town Hall on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex and this is her first engagement with the Queen. During the visit the pair will open a road bridge in Widnes and visit The Storyhouse and Town Hall in Chester. (Photo by Chris Jackson/Getty Images)
CHESTER, ENGLAND - JUNE 14: Meghan, Duchess of Sussex meets the public as she and Queen Elizabeth II walk from Storyhouse to Chester Town Hall on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex. This is her first engagement with the Queen. During the visit the pair opened a road bridge in Widness, visited The Storyhouse in Chester ofllowed by the Town Hall. (Photo by Anthony Devlin/Getty Images)
CHESTER, ENGLAND - JUNE 14: Meghan, Duchess of Sussex meets members of the public as she joins Queen Elizabeth II to walk from Storyhouse to Chester Town Hall on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex. This is her first engagement with the Queen. During the visit the pair opened a road bridge in Widness, visited The Storyhouse in Chester ofllowed by the Town Hall. (Photo by Anthony Devlin/Getty Images)
CHESTER, ENGLAND - JUNE 14: Meghan, Duchess of Sussex waves as she joins Queen Elizabeth II to walk from Storyhouse to Chester Town Hall on June 14, 2018 in Chester, England. Meghan Markle married Prince Harry last month to become The Duchess of Sussex. This is her first engagement with the Queen. During the visit the pair opened a road bridge in Widness, visited The Storyhouse in Chester ofllowed by the Town Hall. (Photo by Anthony Devlin/Getty Images)
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The source adds that the family is "impressed" by Markle and her genuine desire to engage in charitable projects, and like Harry's late mother, Princess Diana, the brunette beauty has already been having "secret meetings" with various charities.

"Gender equality, girls education, gay rights and human rights -- which were the focus of her work as a UN advocate and a representative for the One World Foundation -- will be themes to be prominently featured in her future work," the source explains. 

Since her royal wedding, the Duchess of Sussex has been accompanying her husband and Queen Elizabeth II to a number of outings. Her latest appearance was on Tuesday, where she made a regal beauty statement by sporting a new 'do for the star-studded Young Leader Awards reception at Buckingham Palace.

"Last night she was completely at ease with the queen," the source says. "She has developed an increasingly close, warm relationship with [both] the queen and her father-in-law, Prince Charles. She wants to please them and is doing whatever she can to educate herself to make sure she doesn't put a foot wrong."

As for her evolving style, our source tells us that royal insiders have said Markle is conscious of her fashion choices and has been incorporating some of Princess Di's classic looks into her recent engagements. At the same time, however, the source says she is turning to trusted designers (like Givenchy, Prada and Oscar de la Renta) to create an iconic, "timeless" look of her own.

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Meghan Markle at the Trouping the Colour ceremony
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Meghan Markle at the Trouping the Colour ceremony
The Duke and Duchess of Cambridge, Camilla Duchess of Cornwall, Prince Charles, Prince Andrew, The Duke and Duchess of Sussex, Queen Elizabeth II, Princess Charlotte, Prince George and other members of the Royal Family on the balcony of Buckingham Palace at Trooping The Colour, London. Photo credit should read: Doug Peters/EMPICS
LONDON, ENGLAND - JUNE 09: Meghan, Duchess of Sussex during Trooping The Colour on the Mall on June 9, 2018 in London, England. The annual ceremony involving over 1400 guardsmen and cavalry, is believed to have first been performed during the reign of King Charles II. The parade marks the official birthday of the Sovereign, even though the Queen's actual birthday is on April 21st. (Photo by Chris Jackson/Getty Images)
LONDON, ENGLAND - JUNE 09: Meghan, Duchess of Sussex during Trooping The Colour on the Mall on June 9, 2018 in London, England. The annual ceremony involving over 1400 guardsmen and cavalry, is believed to have first been performed during the reign of King Charles II. The parade marks the official birthday of the Sovereign, even though the Queen's actual birthday is on April 21st. (Photo by Chris Jackson/Getty Images)
(left to right) Duchess of Cambridge, the Duke and Duchess of Sussex, Peter Phillips and wife Autumn with their children Savannah (right) and Isla, on the balcony of Buckingham Palace, in central London, following the Trooping the Colour ceremony at Horse Guards Parade as the Queen celebrates her official birthday. (Photo by Yui Mok/PA Images via Getty Images)
LONDON, ENGLAND - JUNE 09: Catherine, Duchess of Cambridge and Meghan, Duchess of Sussex on the balcony of Buckingham Palace during Trooping The Colour on June 9, 2018 in London, England. The annual ceremony involving over 1400 guardsmen and cavalry, is believed to have first been performed during the reign of King Charles II. The parade marks the official birthday of the Sovereign, even though the Queen's actual birthday is on April 21st. (Photo by Chris Jackson/Getty Images)
LONDON, ENGLAND - JUNE 09: Princess Eugenie, Princess Beatrice, Camilla, Duchess Of Cornwall, Catherine, Duchess of Cambridge, Meghan, Duchess of Sussex, Prince Harry, Duke of Sussex, Peter Phillips, Autumn Phillips, Isla Phillips and Savannah Phillips on the balcony of Buckingham Palace during Trooping The Colour on June 9, 2018 in London, England. The annual ceremony involving over 1400 guardsmen and cavalry, is believed to have first been performed during the reign of King Charles II. The parade marks the official birthday of the Sovereign, even though the Queen's actual birthday is on April 21st. (Photo by Chris Jackson/Getty Images)
LONDON, ENGLAND - JUNE 09: Princess Eugenie, Princess Beatrice, Camilla, Duchess Of Cornwall, Catherine, Duchess of Cambridge, Meghan, Duchess of Sussex, Prince Harry, Duke of Sussex, Peter Phillips, Autumn Phillips, Isla Phillips and Savannah Phillips on the balcony of Buckingham Palace during Trooping The Colour on June 9, 2018 in London, England. The annual ceremony involving over 1400 guardsmen and cavalry, is believed to have first been performed during the reign of King Charles II. The parade marks the official birthday of the Sovereign, even though the Queen's actual birthday is on April 21st. (Photo by Chris Jackson/Getty Images)
The Duke and Duchess of Sussex arrive at Buckingham Palace, central London from Horse Guards Parade, following the Trooping the Colour ceremony, to celebrate Queen Elizabeth II's official birthday. (Photo by Yui Mok/PA Images via Getty Images)
LONDON, ENGLAND - JUNE 09: Harry Duke of Sussex and Meghan Duchess of Sussex attend Trooping The Colour 2018 at The Royal Horseguards on June 9, 2018 in London, England. (Photo by Mike Marsland/WireImage)
The Duchess of Sussex arrives at Buckingham Palace, central London from Horse Guards Parade, following the Trooping the Colour ceremony, to celebrate Queen Elizabeth II's official birthday. (Photo by Yui Mok/PA Images via Getty Images)
LONDON, ENGLAND - JUNE 09: Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex during Trooping The Colour on the Mall on June 9, 2018 in London, England. The annual ceremony involving over 1400 guardsmen and cavalry, is believed to have first been performed during the reign of King Charles II. The parade marks the official birthday of the Sovereign, even though the Queen's actual birthday is on April 21st. (Photo by Chris Jackson/Getty Images)
The Duke and Duchess of Sussex leave Buckingham Palace, central London on their way to Horse Guards Parade, ahead of the Trooping the Colour ceremony, as the Queen celebrates her official birthday. (Photo by Yui Mok/PA Images via Getty Images)
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