That sounds exactly like Amnesia. There are no HUD elements, health is buried in your inventory. Sanity is displayed by obscured vision and hallucinations. The only real options you have to beat a creature that spots you is to hide and hope it didn’t see which way you went. It’s quite slow paced and reading/listening to the notes provides the narrative along with puzzle hints. There are no weapons, but by being clever you can avoid a monster or block a door long enough to escape. It is rather “western” styled though, but more along the lines of HP Lovecraft than a Hollywood zombie movie or Deadspace for example. There are some jumpscares but they are absolutely terrifying only because of what lurks around the corner, a creature you hope to never get a good look at. I do recommend it.