In a logline less words to say basically the same thing is better.
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“When a narcissistic doctor begins to get stalked”
“When a narcissistic doctor is stalked”
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“by a revengeful, criminal and psychotic patient who is dying because of a medical mistake she made when treating his disease,”
“by a psychotic patient who’s dying because of a medical mistake,”
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The final line needs to be more specific. Because we cut the earlier part down you can add a little bit here:

“she must protect herself and her family.”
“She must (Be more specific about what she must do, how does she protect her family???) if her and her family are to survive.”

Hope that helped, good luck with this!