Feeling shame when speaking about DID to my psych

For some reason I feel so much shame when speaking to my psychologist about having DID. I see him specifically for that. He doesn't criticize, berate me or anything. He knows I have it but at the same time, talking about it feels so shameful. Like it's embarrassing and weird, specifically to be talking about the other parts. I have such a hesitation to speak about them with names, it just feels so awkward. I've been seeing him for almost a year and it still feels so wrong.