I can imagine , however, that the two might interact in certain ways. For example, if you have a tendency towards perfectionism -- the belief that many gifted students have that what they say or do must always be exactly right -- you might feel particularly anxious in situations in which your giftedness is being questioned or challenged. This might happen, for example, when you are taking tests, being called on in class or learning something new, especially in areas that are not your strongest points. All students feel some anxiety in these circumstances, but gifted students frequently have more pressure on them, because so much more is expected; therefore, their anxiety might be greater than for more average students.
You might want to check out two interesting books that are published by Free Spirit Press. Both The Gifted Kids' Survival Guide: A Teen Handbook and Perfectionism: What's Bad About Being Too Good touch on some of these issues and are written specifically for people your age. Maybe the information in these books will lead you to some of your own conclusions or give you some ideas to research. Good luck!