Assassin in blind woman’s apartment

I am trying to find the title of a movie I watched 30-35 years ago.

Most (if not all) of the movie takes place in a blind woman’s apartment, where an assassin of some kind breaks in or forces his way in because he needs a place to hide out while waiting for his victim…something like that.

I remember him as being very stonefaced, wearing sunglasses even inside the house. He believes a blind woman will be easy to control, but she is very resourceful, at one point pouring gasoline on him so that he can’t set the place on fire.

I thought the woman was played by Shirley MacLaine, but I can’t find anything on IMDB, so that is probably wrong. Maybe someone with a similar look?