From big artists to huge cultural moments, 1Xtra "has represented black culture" for 20 years.
The comedian says his act has been "cheapened" after The Pleasance axed his Edinburgh Fringe show.
The actress was declared dead last week but kept on life support until a suitable person was found.
"We do not consider anyone other than Rushdie and his supporters worthy of blame," a spokesman said.
The Spider-Man: Homecoming star says Instagram and Twitter can be "detrimental" to his mental health.
His agency said they were "very sad to announce the sudden death of the celebrated author".
Dowse, who played Vice Principal Yvonne Teasley, had been in a coma brought on by meningitis.
He hosted his Sunday afternoon programme for 13 years but recently rotated the slot with Rob Beckett.
The Pleasance venue said the comedian made staff and audience members feel 'uncomfortable and unsafe'.
The author was severely injured after being stabbed on stage at an event in New York State.