What? A psychodynamic therapist dropping a patient because of transference-countertransference? That doesn't make any sense.
Transference and countertransference are the main tools for a psychodynamic/psychoanalytic therapist and a proper therapist is rigorously trained to use these tools. It's like I would say that I am a cook but then it turns out that I actually have to cook something and then I call it quits because it's too difficult.
What was her education again?