Does "scene" mean....?

Scene is typically associated with certain genres of music and certain lifestyle choices. Typically "screamo" music and either being straightedge (no drugs or drinking) or with a lot of smoking and drinking. This isn't to say all scene-looking people act in these ways, it is just the stereotype. It isn't usually associated with lesbians. If the hair was short, however, that might be what she was referring to because people often associate short women's haircuts with lesbians. If you want to look and dress that way then don't let the librarian's comments stop you :)