So to answer my own question I didn't have luck making an appointment in Connecticut.
Dr Hulinsky never answered nor did I hear from them and Aprn Ms Katheryn Tierney asks for a referral letter from a therapist which I don't have. Besides her waiting list is 5 months long.
So I searched for NY clinics instead and found the Callen Lorde clinic but their Manhttan office isn't taking new patients only the Bronx office. They referred me to Apicha Community Health Center also in Manhattan so I booked an appointment for Nov 30th and I'm sooo looking forward to it. I also found out I'd be spending way less going to NY than paying for the high fees of Endos in CT so I'm happy for that. There's also a couple good clinics in Boston from what I read but Boston is further from me. I hope this info works for other people.