Anwar is known for her roles in the 1990s films Scent of a Woman, The Three Musketeers, and Body Snatchers. She also appeared as fashion-conscious graphic designer Sam Black in the second series of Press Gang. Starting in mid-2007, she stars as Fiona Glenanne opposite Jeffrey Donovan as Michael Westen in Burn Notice. She also plays Margaret Tudor on The Tudors.