I've had therapist trainers with over 20 or even 40 years of experience who still saw a supervisor now and then for difficult cases, but normally this isn't a requirement. A young and inexperienced therapist in supervision still bears most of the responsibility for his/her clients and a therapist with as much experience as you describe does not legally even have to see a supervisor. The fact that she has both personal therapy and peer supervision tells me that this therapist cares about her work and doing her best with more input than just her own. I also understand needing warmth from a therapist, though I also think that the level of warmth you need may be something you also build together with time. This therapist is right to say she's not a mind reader and I think that she needs to get to knoiw you and your needs before really giving you what you need.

There may be cases in which there's nothing wrong with a therapist exactly, but you just don't feel the connection. I think it's always okay to go for a therapist you feel more connected to, for no apparent particular reason. But having read some of your posts before, I have to wonder ... if you're doubting your decision at all and if you still (at least partially) wish to remain with your current therapist, will any other therapist be enough for you? I don't know exactly how come you're even looking, but ending a significant therapeutic relationship is a loss and you're probably starting to grieve, and I imagine it's very difficult to go to another therapist, no matter how thoughtful, experienced, even warm or whatever qualities you may be looking for. I'm just thinking out loud here, in the end of course you've met these therapists and know what's best for you.