Queen Elizabeth instructs Meghan Markle on royal protocol during first joint outing together

Queen Elizabeth -- ever the gracious lady!

Her Majesty and Duchess of Sussex Meghan Markle made their first solo outing together on Thursday in Cheshire, England, where they were all smiles as they attended several events side-by-side. It was when they first arrived in the English town that Meghan and the Queen had their only semi-awkward moment of the day.

After the royal duo hopped off the royal train upon their arrival, they walked to a Bentley that was awaiting them. Being new to the royal family, Meghan is still figuring out all of the different facets of royal protocol and appeared hesitant whether or not to get into the car before the Queen.

SEE ALSO: Meghan Markle wears wedding dress designer Givenchy in solo appearances with Queen Elizabeth

"What is your preference?" Meghan asked the Queen in relation to getting into the car.

"You go first," the 92-year-old said.

"Oh, okay," Meghan responded, People reports.

The pair, who shared a laugh and more than a few smiles between one another throughout the day, were in northern England for the opening of the Mersey Gateway Bridge, which Meghan remarked was "a magnificent bridge."

"It's been a massive treat -- a massive buzz for us all," Andrew Curphey, whose theater company took part in a performance by local children at the ceremony, said. "The best hit was just before they left. Meghan turned back to me and said, 'The children did great by the way.' She was really calm considering it was her first official engagement with the boss. She is with the boss, so no pressure!"

For the big occasion, Meghan opted for a beige Givenchy dress with a cape top, while Queen Elizabeth looked pretty in a lime green suit dress made by Stewart Parvin.

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