Burton-Hill's first job in journalism was as a staff writer at "Vogue" and she has since written for many major UK publications, including "The Economist", "The FT Weekend", "The Guardian", "The Observer", "The Independent", "The Sunday Times", "The Sunday Telegraph", "The Times Literary Supplement", "Elle", and "The Mail on Sunday". Her subjects range from the arts to artificial intelligence. She has been the music columnist for BBC Culture since 2013 and is "BBC Music Magazine"'s chief interviewer. She was previously the UK's youngest broadsheet columnist, at "The Daily Telegraph"; a contributing editor for "The Spectator"; and a columnist at "Total Politics" and "The Liberal" magazines.