Shortly after leaving drama school, Duvitski was given a couple of small roles in television dramas but had no agent, and placed an advert in the 'Spotlight' agency catalogue with a photograph. As a result she was approached by the BBC to test for a play about incest, entitled "BBC2 Playhouse: Diane (1975)". Although she was in her early 20s the part was that of a 13-year-old girl but her audition was sufficiently convincing to win her the role. The door thus opened to her for more TV and stage roles and, whilst she was appearing in 'Don Juan' at Hampstead Theatre, London, she was spotted by Mike Leigh who offered her the part of Angie in the stage production of "Play for Today: Abigail's Party" (1977), which she repeated in the television version. Duvitski's principal television credits include the roles of Jane Edwards in "Waiting for God" (1990–1994), Pippa Trench in "One Foot in the Grave" (1990–2000), and Jacqueline Stewart in "Benidorm" (2007–2018). In the BBC's "Vanity Fair" she played Mrs Crawley. She has also appeared on "Lily Savage's Blankety Blank".