Transference is when you react to things based on some interaction from your past. If you're mother kept calling you stupid so you automatically think even new people you meet look at you and think you're stupid, is an example. Lots of one's negative/lack of self esteem is from transference, You "give up" and automatically accept what you've learned in your past, you "transfer" what happened then to current events.

A T telling you about themselves is just counseling or regular conversation, her hoping what she has experienced will help you, not part of anything she learned in how to do therapy. Transference would be if you accepted/didn't accept their information because someone in your past influenced you about meds.

For example, my mother died of a brain tumor. It started back in the 1940s before they knew much about the brain and she was sent to a psychiatrist, was told her grand mal seizures were "all in her head." Nowadays that would waste good time that could be spent trying to heal the tumor. When they finally operated on her 4+ years later, it was way too late (not that they had the means to do much about it until after she died in 1954 anyway; they didn't have CT/MRI or chemo, radiation, etc. yet). Anyway, I didn't know that story but knew my father "hated" psychiatrists, made fun of them. So his attitude was "transferred" to me/anyone else that thought psychiatrists were good to see. I didn't tell my father/step-mother I was in therapy for a long long time and never very specifically even when I did "mention" it. I was afraid, knew they "hated" psychiatrists (and didn't want them to look down/not love me for getting counseling). It made a big difference when my aunt told me the story and I understood where it was coming from and could resolve that problem. But my father never did. He never "worked through" the transference with a psychiatrist, never understood his unconscious/kneejerk dislike of psychiatrists/mental health workers.

Transference is just an unconscious conflict like that that plays out in therapy with the therapist playing the role of whoever "gave" you the belief. You "treat" the therapist as if they were the person without thinking through what you are doing. Usually there's one or two "major" people that you wanted to impress/get love from, etc. in your early life and you picked up all sorts of ways to do that or to not upset/anger them, etc. and now you have this "code of conduct" you're not even aware of that you use everywhere with everyone. Everyone does it to some extent but it's why people get in bad relationships over and over, they're trying to "fix" a relationship in the past. They'll do the same things/feel the same way in therapy with the therapist only now there's a chance to examine what's going on, for the therapist to point out that it doesn't belong in "this" relationship, etc. and one becomes more conscious of what's happening in one's life so one doesn't always repeat the same self-defeating things over and over.

With meds I think it's a very personal thing. It's not really about "feeling good," it's about not feeling bad. When you take an aspirin for a headache, that's kind of the same as taking an antidepressant. However, with depression, it will come back. Maybe it's more like taking an antacid, allergy meds, sea/air-sickness pill, even anxiety meds; so you keep the bad feeling away. Antidepressants don't change who you are as a person, don't make you "happier" they just help you recoup your normal/genetic level of energy and emotional state. Compare them to antibiotics even; without antibiotics lots of people would/did die from infections.