Psychological research actually shows that people perform better at activities under a certain amount of anxiety. In fact, what matters isn’t the anxiety itself, but the person’s confidence in their own ability to perform whatever action they’re anxious about.
So it’s less about the anxiety and more about how competent you feel you are. The less competent you feel, the more the anxiety will hinder you, the more confident you are in your ability, the more the anxiety will help you.