Her first film roles were the Jean Seberg character in the short film Je t'aime John Wayne and in Stardom (2000). In 2001, Robert Altman cast her as Isobel in the acclaimed hit, Gosford Park.

Camilla was married to PR & Marketing Director Rufus Abbott from 2003 to 2007. They have two children, Hector and Maud. Camilla subsequently had another child, Nancy, born in 2009 followed by Blaise born in 2015.

In July 2004, she was on the cover of the magazine launched by Annabel's nightclub, posing with Mark Birley's dogs. She was the face of Max Factor for Autumn 2004, and Links of London jewellers, and was also interviewed in The Observer. She is in the films Vanity Fair (2004) and The Freediver She was photographed by Bryan Adams for a story in issue 6 of Zoo Magazine in 2005.

Camilla portrayed Jocasta, daughter of a wealthy merchant and friend to Octavia of the Julii in HBO's period drama Rome and had a role in Wes Anderson's film, The Darjeeling Limited. In 2011, Camilla starred in the multi-award-winning 1920s/1930s sci-fi Dimensions. Camilla stars alongside Claire Foy and Andrew Garfield in Andy Serkis's movie Breathe which opens London's Film festival in October 2017. Following that Camilla starred with Daniel Day-Lewis in Paul Thomas Anderson's hotly anticipated new movie- Phantom Thread, which premiered in Los Angeles on Christmas Day 2017.