You can go there without lorazepan. They are only going to see your wrist. You don't need to tell them that you take lorazepan. In the end, you only take it in case of emergency.

I will tell you what my psych told me some days ago. Take valerian. Two pills of valerian.

Anyway, I would go to the doctor or psychiatrist for him/her to follow your anxiety and your issues, so he can follow your case and take the right decissions. You don't need to tell him anything about AvPD. This is a personality disorder and has to be treated mainly with psychotherapy but the symtons of GA and social anxiety can also be treated meds, so he will know what to do. Trust in doctors. They studied all this. They know how to help you.
A hug!