I think you should go. I know it's very scary, but at least you should try. Doc can't lock you up that easily, you have to be a serious danger to yourself or others (for example activelly suicidal or seriously threaten to kill someone), otherwise they can't do it. You hurt yourself, there is no way the doc will tell "there's nothing wrong" and he definitelly won't tell you to leave. He will try to help you. You just have to show up and you'll decide what to tell later, when you see how things go. Hang in there. and tell us how it went, ok?