Would You Consider Don't Look Now Horror
There are lots of different kinds of horror. Some can be creepy, The Haunting (original), Some can be really scary, The Exorcist, Some can be Gothic Horror, the original Dracula. Some can be psychological horror like, Rosemary's Baby and some can be extremely disturbing like Martyrs or funny games.
So with all that being said does this movie fit any of the types of horror I've mention. I'm making a list on IMDB called My 100 Favorite horror films and I'm watching a lot of movies to do this list and don't want to waste my time on a movie if it can't be considered horror.
Netflix says it's a thriller, IMDB has it listed as horror and a thriller
We all go a little mad sometimes - Norman Bates