Kendrick played Anne Frank in the 2009 miniseries The Diary of Anne Frank. She said that her approach to playing Frank was to "peel back the layers of idolisation and to think of the characters just as normal people". Her performance was praised for "bringing fresh realism to an iconic role".[3]
In 2011, Kendrick appeared in the BBC Radio 4 production of Life and Fate. She also played the character Allison in Being Human in the episode "Puppy Love" in 2012. She returned to the role in the ultimate episode of the series "The Last Broadcast" in 2013.
Kendrick's first play, Hole, premiered at the Royal Court Theatre in 2018 under the direction of Helen Goalen and Abbi Greenland.[11][12] The play combines Greek mythology and physics to explore female rage and oppression.[13][14] She wrote the play in 2016 as part of a writing group with the Royal Court.[15]
In 2020, she had a recurring role in the first season of the political drama Cobra.