((( SongsInMyHead )))
I understand your concerns and that you must feel kind stuck. I hope you won't stop therapy when you still have things to work on. Difficult things can be worked out.
Approach this subject in general terms with your T. Without telling her the details, talk with her about this, telling her in general that there are things you really wish to discuss with her, tell her about, and the fears you have of her feeling a need to tell your parents. See how that goes. Perhaps she and you can work out something here, but please involve her in the decision-making and give her a chance to offer you a solution.
Wouildn't it feel great to resolve your fears of telling her and her telling your parents, so that you could talk about it.
Start as we do with some subjects.... talk about talking about it.