From askmen.com's "Four types of attachment styles":
Attachment style 3The distant girlfriend: Low fear of being abandoned + high avoidance of closeness
This woman is self-reliant and indifferent to intimacy. She’s not afraid you’ll desert her because she doesn’t plan on being all that close to you in the first place. A woman with a distant attachment style is a woman you might want to hook up with, but don’t try to get involved with her or you may wind up feeling used. The distant woman has a high opinion of herself and doesn’t care about what others think about her. Respecting you will not be high on her list of priorities. One good sign that a woman has a distant attachment style is that she doesn’t seem to have close friends.