countertransference

n. transference from the analyst to the feelings of the analysand (Psychology)

In psychotherapy, countertransference is a condition where the therapist, as a result of the therapy sessions, begins to transfer the therapist's own unconscious feelings to the patient. For example, a therapist might have a strong desire for a client to get all 'A's' in university because the client reminds her of her children at that stage in life, and the anxieties that the therapist experienced during that time.
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Countertransference /coun·ter·trans·fer·ence/ a transference reaction of a psychoanalyst or other psychotherapist to a patient. [more]Countertransference - Community and Resources

Noun
1. the psychoanalyst's displacement of emotion onto the patient or more generally the psychoanalyst's emotional involvement in the therapeutic interaction
(hypernym) transference

feelings that the psychoanalyst has for the analysand that are more a reflection of the analyst's personal history than a reaction to the behavior or characteristics of the analysand.  This is the opposite of transference.