First off explain to the doctor what your symptoms are. You might just have normal teenage anxiety. I'm not saying that is what it is. But it could be. My daughter who is also 16 has just normal anxiety. But because of her age. She does have added stress from highschool, boyfriends, friends etc. Just the normal things. But she has trouble (which most teens do) is dealing with it and how to manage it most effectively.
Second being that you are a teen. You most likely will not get much support from meds. As most anxiety/depression meds are not ment for teens. Unless you have major anxiety and depression. And then they are given under close supervision. So its best if you take up therapy and maybe cbt.
Therapy is always a good thing. Even for people who don't think they need it. Maybe your guidance councilor can help you with some suggestions for good therapists for your age.
Be open and honest with your doctor. Tell him how you feel. Both mentally and physically. Even the little things can make a big difference. How often does the anxiety act up. Daily, weekly. During your period, before or after.
He should ask questions about your activities. And what stresses you might have.
Its normal to have some anxiety. But if its consuming you then its a problem. Take notes of questions you have now. So you don't forget in the morning what you really wanted to ask him/her.
Good luck and I hope you get some answers.