Fuller, a hospital electrician, is known to have violated at least 100 corpses, often filming or photographing his crimes.
Nevres Kemal’s daughter Azra Kemal was 24 when she died before her body was sexually abused by Fuller three times in the mortuary of Tunbridge Wells Hospital in July 2020.
Ms Kemal told Sky News it was “a disgrace” she has to “prove that this has devastated me” as she fights to get compensation.
It comes as an inquiry into the case concluded that “offences such as those committed by David Fuller could happen again”.
The report by Sir Jonathan Michael found that “current arrangements in England for the regulation and oversight of the care of people after death are partial, ineffective and, in significant areas, completely lacking”.
Fuller was given a whole-life prison term in December 2021 for the murders of Wendy Knell and Caroline Pierce in Tunbridge Wells, Kent, in 1987.
During his time as a maintenance worker, he also abused the corpses of more than 100 women and girls at Kent and Sussex Hospital and the Tunbridge Wells Hospital before his arrest in December 2020.