When a narcissistic doctor begins to get stalked by a revengeful, criminal and psychotic patient who is dying because of a medical mistake she made when treating his disease, she must protect herself and her family.

"When a narcissistic doctor begins to get stalked by a revengeful, criminal and psychotic patient who is dying because of a medical mistake she made when treating his disease, she must protect herself and her family."

Nice comments above. Maybe too many adjectives describing the antagonist. The logline is a bit long maybe.

I think that the comment about the ticking clock for the antagonist. You could try to make it a disease that's heading towards certain death, and uncurable but not as urgent.
Maybe you should focus more on the stakes at hand. Why the word protect, why not make it more urgent.

To make the whole thing more interesting you could perhaps make the main character flaw more urgent of fixing. So she could save her family from herself as well as the patient

Possible rewrite:
When a narcissistic doctor gets threatened by a psychotic patient, dying because of a medical mistake the doctor made, she must save her family from both the patient and herself.

How is your call to adventure that the character "begins to get stalked" ... it would surely be the moment she realised she was being stalked, and what specifically happens that allows this realisation?

Possible Title: Let's play doctor