Peak starred as Grace Middleton on the television series The Village from 2013 to 2014. She has had recurring roles on the TV series The Way We Live Now, Early Doors, Messiah: The Harrowing, See No Evil: The Moors Murders, The Devil’s Whore, Little Dorrit, Criminal Justice, and more. Peake is an accomplished stage actress and has starred in productions of The Importance of Being Earnest, Hamlet, A Streetcar Named Desire, and more. Peake has been nominated for BAFTA TV Awards for Best Actress for Hancock & Joan in 2009 and for Best Leading Actress for The Village in 2013.