Am I a writer or am I an artist?

A good question has come up (See above).
This is kind of a dilemma for me. I love writing and I think I am genuinely good at it. Writing comes easy to me. My teacher seems to think that this is my career path. To be a copywriter.
Seems simple. So why is this a dilemma?
It's really no big deal. But you see. there are a whole lot of other thinks that I am good at. The problem is, that is not where I picture myself. I am an awesome dancer, I write music, and I can sell a ketchup flavored Popsicle to an Eskimo and then ask for them to refer their friends. There are lots of places I can see myself succeeding.
I want to be an art director. Prior to starting this program at SMU I was convinced that creativity is such a thing that no matter who you are, you can acquire it. For now, unless I was completely misguided, I think I will stick to my dreams. If it takes me longer than most, then so be it.