In the early months I went through a lot of "WTF am I Doing

" meltdowns. Scared of an unknown future, I was feeling better like I've had when on low dose over the centuries. Why continue? Shame, Guilt, Internalized Transphobia. For the most part my TG Support group angels helped me out of the funks. Another big factor if I tried backing off on HRT I only started to feel worse, worser, and then even worserer. It wasn't a good plan.
My wife put it best whenever things seemed going the wrong way between us because of me, I always offered to stop all the nonsense if she needed me to. Her response "We both know you cannot"
Now, back to the op....
Why can't you simply keep up on the HRT regiment AND see another therapist or two? So far you've been having a positive emotional response to it. A few months is likely not going to do much if anything physically.
The big down side is "Who gets to choose?". Finding ANY therapist with even a tiny bit of experience with living TG clients is pretty difficult in many regions. I had to travel 90 miles when I was in WV. Here in NJ in the shadow of NYC it's a lot easier to find. The Psychology Today doc-find is useful but also ripe for abuse. Some providers just click off about everything. When you call to talk to them and dig a bit into real experience.... Seems a lot boils down to I once was in a class where it came up.
Worse yet, if your parents get to choose is they seek out "unfriendlies" to hostile towards TG therapists. Hostile as in you can be fixed.