Holman started her acting career in the 1988 television film The Rainbow based on the novel by D.H. Lawrence, directed by Stuart Burge. She portrayed forensic pathologist Dr. Laura Hobson in the television series Inspector Morse and Lewis from 1995 to 2015. She was nominated for a 1997 Laurence Olivier Theatre Award for Best Actress in a Supporting Role in 1996 for her performance in Who's Afraid of Virginia Woolf?.
She teaches drama at the Guildhall School of Music and Drama and has directed six episodes of Doctors in 2010 and two episodes of Holby City in 2012.
- Ring Out Your Dead (2002) as Sue Tutt
- Country Matters (2006) as Rose Southerly
- The Miniature Murders (2019) as Fiona Beauvoisin