It's important to remember that you are an adult. You can get any kind of healthcare you need and you have no obligation to tell them. It's not about keeping secrets, it's about you having privacy. Your mental health struggles are private. You can decide who to tell or not tell. If one person you want to tell is a psychiatrist, you can do that. He isn't going to tell anybody. You're privacy is protected. I guess my one question would be are you on your parents insurance? If you are maybe there's a way to keep the billing source private as well. Ask your psychiatrist.