Anxiety working with people

Idk if it is anxiety or something but I have a retail job and its my first job and ive been there for 6 months now. I think im like this to all people, when customers come in I get scared or anxious. I feel myself trembling but fighting back to say “its fine this is fine” I do my best to talk to them despite dying in the inside. When I was still in school and im sitting close to my classmate, I just become super aware my classmate’s there and become trembly and quiet again. Im starting to consider going to a psychiatrist because man I really dont wanna be like that to people