The 37-year-old Croydon-born beauty admitted she became caught up in Royal Wedding fever as Prince William and Kate Middelton tied the knot in St Paul's Cathedral, and added that she would love to be recognised for her services to the fashion industry.
William's bride Kate Middleton became the Duchess of Cambridge upon marriage.
Moss said: "I'm too young to be made a Dame. A Dame's for old women like Margaret Thatcher.
"I'd prefer to be a baroness. I'd quite like to be Lady Kate."
Margaret Thatcher is in fact a baroness.
Talking of her now even more famous royal namesake Moss added: "Oh I love her! She was so chic and seamless . And just beautiful, it was just as a royal wedding should be.
"I was with loads of friends and kids who were all crying. There were tears. We were like "okay, you can marry Harry!"