The Queen wore a spring green coat by Stewart Parvin and matching hat by Rachel Trevor Morgan.
It is the first time the duchess has attended an event with the Queen without her husband Prince Harry. She wasn't in the final season quite as much and that category is expected to be pretty competitive, with Thandie Newton from Westworld, Millie Bobby Brown from Stranger Things, and Alexis Bledel from The Handmaid's Tale all in the running.
The 36-year-old Duchess and Queen Elizabeth, 92, were in Cheshire on Thursday for the opening of the Mersey Gateway Bridge and Chester's Storyhouse Theatre.
The queen and the Duchess of Sussex, as Markle is now known, travelled by a special royal train for a series of events Thursday.
They giggled like naughty schoolgirls at times as Meghan whispered in the Queen's ear during visits to Runcorn, Widnes and Chester, after a slow journey to the Northwest on the royal train.
The pair appeared to get on quiet well during the outing.
During their visit, the Duchess and the Queen observed the national silence in memory of those who died in the Grenfell Tower disaster a year ago.
The Duchess of Sussex has opened up about married life.
Kensington Palace has told the Daily Mail that the Duchess of Sussex is not referring to the Queen by the nickname "Mama" just yet, but according to experts she could use it as she settles into her new role.
The unveiling of the 1.86 billion pound project was followed by a performance from local school children.
Meghan is expected to curtsy to all royals of a higher rank to her, which includes the Queen, the Duchess of Cornwall and the Duchess of Cambridge.