I didn't fully follow your post, either, except to say I feel for your anguish and discouragement about therapy. You mentioned you need to be "cured" of your sex orientation and therapy is useless unless it can do that. I would use the word "changed" rather than cured, as it is more neutral, as sex orientation should be regarded as a choice not a disease.
I totally disagree that gayness can't be changed. If you want to change, for whatever reason, you can, as on the deep psychological level, we are all sexual everything at a very young age. What therapy can do is regress a person to the age of original sexual choice where that choice can be consciously achieved. Granted, that is in-depth therapy that takes time and dedication.

I would certainly ask your T if he/she can deal with that issue, and take it from there. I hope you will stay in therapy, and continue to work on your distress and discouragement. It's great to have a professional to talk to, who won't judge you or turn the topic to his own self, like friends and family do. If your T can't go deeper in your search for identity, maybe start up with someone who does do deep therapy concurrently,(if you can afford it) so you can make the change gradually. Most people find it hard to suddenly switch therapists even when they discover the T doesn't do the kind of therapy they need.