Just because he has other patients doesn't mean he doesn't care. He is paid for his services but he is not paid to feel positively about you. Therapists don't like EVERY client. By seeing you (and 3 times a week at that!) he MUST truly care for you. It's not a "normal" relationship, in the sense that we have them in the outside world (and I too find it painful at times) but it is real in its own way. Like your sibling is different from your friend is different from your teacher is different from your coworker. They can all still care.

If your were a therapist, would you be able to just say to person after person that you really love and care about them, even if you secretly didn't? Not many people would be up to that. I believe that your T is genuine. I hope things go well tomorrow