I admire and respect that you keep on trying. Hope this idea, and this therapist even, work out better for you. Maybe they don't have to care about you in order for therapy to help in some way?

For me, I definitely do feel I need some people, somewhere, to care about me, though. I feel it somewhat more now that I lucked into a support group about 5 years ago. It's a lot more genuine than any of the fake superficial "caring" that I got in therapy. But that's just my experience.

I think you said a while back that you felt your first therapist cared about you? But then, she couldn't continue the therapy for some reason? Maybe she was a special person and that was a special relationship that cannot be repeated very well? Or, may be, in time with this therapist, some warmth will come when you're least expecting it? So, yes, not expecting it, just to be disappointed when it isn't there, seems like maybe a good idea.