Gonshaw began her television acting career in the early 1980s. In 1982 she appeared in a BBC television play entitled 'Shades'.

She appeared as the character Arsinoe in the 1983 BBC television classical roman history drama series The Cleopatras. From 1984-85 she played the character Lisa Walters in the Associated Television soap-opera Crossroads. From 1984 to 1986 she played the role of Maria Recamier in the BBC's 'Allo 'Allo! television situation comedy series set in occupied France during World War II. She left the cast of 'Allo 'Allo after its third series to take up the role of Amanda Parker in the third series of the BBC television drama series Howards' Way in 1987.

In 1986 she appeared in the historical/science fiction cinema film Biggles: Adventures in Time, and played the character of Senorita Rodriguez in the television film dramatization of the Barbara Cartland novel 'A Ghost in Monte Carlo' (1990).

Gonshaw retired from acting in the early 1990s, and took up the post of Senior Vice-President of Creative Affairs with Mirimax Books & Films. In 2001 she was a casting agent for the film The Goose Creek Story. From 2009 she has been an Artist, and was the curator of the 'She has a Space' gallery in London.

In 1992 she appeared in the pop music video for the Peter Gabriel single release "Digging in the Dirt".

Gonshaw resides in West London, and since 2011 has occasionally appeared at memorabilia Collectors conventions with the former cast of the 1980s comedy series Allo Allo!.