Anna was born in London. She read English at Oxford, then moved to Los Angeles and lived in East Hollywood for two years. Her first novel, Isabel and Rocco, was published in 2003. Helen Dunmore described it as "hypnotic, transgressive and enclosed... remarkable". Her second novel, The Pink Hotel, was published by Alma Books in 2011 and longlisted for the Orange Prize 2012. "Astonishingly good," said The Times; "an elegant noirish mystery," said The Independent.
Film rights for The Pink Hotel have been bought in LA and the book is being published by Diogenes in Germany, Siruela in Spain, Picador in America, as well being translated into Czech, Chinese and Thai. She writes for The Observer Magazine and is currently living in Chalk Farm, London, writing her third novel.