A therapist wanting to get to understand my mind I would be okay with, but I wouldn't want anyone to be too aggressive with it, and "I want to get inside your mind" can come off a little like that. I don't like when people just want to psychoanalyze me, but more when a therapist wants to get to know me because they care, and let's me bring stuff to them when I'm ready. I can see how the "time limits" thing would be triggering. I also wouldn't like that. The kind of therapist you describe that you would like to have is similar to my current therapist, and I think that's why it works well for me, too. I want some direction, but also to be given time to open up. Have you worked with any trauma informed/focused therapists? Some therapists seem better at addressing a specific problem, like anxiety, with a specific goal, like CBT. My current therapist seems very trauma informed, and even though I don't have major traumas, I find her style works well and is warm and safe.