Please help w/ any knowledge you have: how do I find a specific therapist of my choice, like a psychoanalyst, accepting insurance?

Hi so i asked a similar question bout this on r psychoanalysis i think, before. Many suggetseted that I go visit psychologytoday.com. So i did, i used the the finder page to the best of my ability to narrow down my needs and find one for me. However, they were still all privatized and costly practitioners. What do I do? Thing is, i talked to my last therapy clinic person, i told him i wanna be able to scroll through, and actually choose profiles of who will fit my needs. Is that possible? He sounded very agreeable.

But instead he found one for me and she was still some typa student, I don’t remember. Their website doesn’t let you actually select anyone either. It just shows some of the issues most of them can help deal with. And on top of that, my selected plan was just regular talk therapy. I am not someone who works well with tt. It doesn’t do nearly anything for me, a few tips are definitely helpful and useful, but it doesn’t address my heavy needs. I just really wanna choose a type of special therapy and a therapist.