Having sex with a current patient or even a recently discharged patient is not only unethical—it is illegal. The American Psychological Association Code of Ethics, Section 10.05, states that psychologists do not engage in sexual intimacies with current therapy clients/patients.

What is it called when a patient falls in love with their psychiatrist?

There is actually a term in psychoanalytic literature that refers to a patients feelings about his or her therapist known as transference,1 which is when feelings for a former authority figure are transferred onto a therapist. Falling in love with your therapist may be more common than you realize.