Yes, you are over-reacting. The pain is the 7 layers of skin and nerves. I suggest you not call your doctor. You need to just let this anxiety go.

If you did not have an immediate dazed sensation, it was not a concussion.

There is a difference between feeling the confusion of anxiety and the sense of feeling dazed. Dazed means you can't even think straight for the first few seconds. Confused means you mind is thinking, maybe wild thoughts of "Oh, I hurt myself." It usually starts after a short period and can last for minutes or longer depending on your anxiety level.