For her work adapting the novels Poppy Shakespeare and Small Island for television, Williams received two Writers' Guild of Great Britain Award nominations.
In 1992 Williams produced a series of documentary films for the BBC and Showtime USA Funny Business, which starred Rowan Atkinson, John Cleese, Roseanne Barr and Bill Hicks.
The Guardian called her script an example of "good art,"[8] and she received a nomination for Best Television Short-Form Drama at the 2009 Writers' Guild of Great Britain Awards.
[11] In 2018 Williams wrote the three-part BBC TV series The Long Song, based on the novel by Andrea Levy, starring Tamara Lawrance, Hayley Atwell and Sir Lenny Henry.
In 2019 she wrote a four-part original drama series 'Flesh and Blood' for ITV starring Imelda Staunton, Francesca Annis, Russell Tovey and Stephen Rea, broadcast in February 2020.