You might be surprised how little the average person knows about Star Wars or Star Trek. Her armor could be something like wearing the STAR WARS logo or it could be like like wearing the, never shown in the movies, Jedi logo, or even more cryptic, like a shirt that just says "McClunky" people who know, know, but more people don't.
Or for the Trekkers, a shirt with the IDIC symbol.
The point was that in a Star Trek convention, everyone would immediately spot and recognize a Star Wars shirt and hat. Oh yeah! Some would even consider it blasphemous.
