I would not worry that you have discovered you have a disorder that your T does not know about or does not want to work with.

I think therapy is mostly about getting to know ourselves with our therapist's help; how we act, the things we say, how we express ourselves in the world, those are open for everyone around us to see. Someone with depression cannot pretend to not be depressed 24 hours a day, someone who is anxious cannot act as if it is "no big deal" covering all situations and conversations.

We give clues to our symptoms all the time and a T is going to take our mental temperature and blood pressure like a doctor takes a physical one. Symptoms are not the problem. I think T's want to help us look at the difficulties we have, the actual things in our way, and those are hard for us to know/see when we first start therapy.

Do tell your T what you see in yourself, how you see yourself but don't worry so much about a particular diagnosis, especially based on symptoms alone; lots of symptoms are in multiple diagnoses and many are also on a continuum where everyone has that tendency sometimes versus those who have that symptom a whole lot.