Wow this has been a fantastic read! The insight here is incredible, not just into what Nancy initially asked but on so many other levels as well.
I totally agree with what Angie said ("You don't need to look arty to express your creative side"), and what Tara said ("I think being an artist, at its core, means being yourself, and expressing that to the world... What makes NancyLee NancyLee? What do you want to say to the world?"). Especially Tara's allergicness to the word "artist" (perhaps the little rebel in my head).
I know that most people here think I am an engineer/scientist primarily, but in truth that is my secondary nature; I am 100% artist first, scientist second. But I never introduce myself as an artist, and even when I was doing art primarily (music, in my case) I rarely called myself an artist. These days if people ask what I do for work, I simply say I'm a programmer, but my field is typography and language; the bulk of what I do is far more art than science (I like to say I solve artistic problems with scientific methods) and actually I am only programming perhaps 20% of the time.
Do I want to portray myself as a programmer? Not really, I would say the way I dress is quite atypical of most programmers. Do I want to portray myself as an artist? Perhaps a little, though I wouldn't call my style "arty". My goal isn't to look like an "artist" but just look "creative". To me, and to others as they've said above, style IS an art, a way to be creative, and I treat it as such. I definitely use the way I dress as a form of artistic expression and I do think my creativity comes through in my outfits. Jean's comment "I think about many of the same things when I dress that I do when I paint" really resonates with me
It is interesting to me, though, that people who meet me in person are often surprised to hear that my degree is in science, whereas most people I've "met" through text first (here on YLF, email discussions with others in my field, etc.) are often surprised to hear that my true background is in art.