Burns' major television role was her performance in the cult television program Prisoner, in which she played the tough but affable lesbian bikie character, Frieda "Franky" Doyle.[5] Although only appearing in the first 20 episodes, her character attained cult status, resulting in her winning a Logie Award for Best Lead Actress in a Series. Burns stated in a 2011 interview that she left the show due to very low pay and an increased workload as a result of the more rapid production of episodes. She also stated that it was her decision to be killed off as she did not want to be lured back. After Burns's departure from the series the producers released a telemovie titled The Franky Doyle Story which they compiled using footage from the episodes in which Burns had participated.

Burns, an experienced and versatile theatre actress, went to the UK and appeared in numerous West End theatre productions and had roles in TV series such as The Bill, Taggart and Heartbeat. Burns also appeared in films, particularly during the late 1970s and 1980s, including The Mango Tree (1977), Bad Blood (1981), Starstruck (1982) and Strikebound (1984)[4]

Burns had acted exclusively in the theatre for ten years before film or television, based in Brisbane. In 2005, Burns performed in the Queensland Theatre Company's sell-out season of Edward Albee's production of The Goat, or Who is Sylvia?. As part of the 2007 season, she appeared in The Glass Menagerie by Tennessee Williams.[6] She performed for La Boite Theatre. She was in a stage production of Elizabeth: Almost by Chance a Woman by Italian playwright Dario Fo. In 2015, Burns played, in what turned out to be her final performance, the lead role of Winnie in Samuel Beckett's Happy Days for Queensland Theatre Company.[4][7]

Burns directed the Queensland Theatre Company productions of The Road to Mecca (2002) and A Day in the Death of Joe Egg (2003), as well as her own adaptation of Picnic at Hanging Rock (2013) at Brisbane Arts Theatre.[4]