I was simply looking at whether you can make Batman still feel like Batman when female. There are other superheroines, of course, but I rarely find any of the "female versions" (Batwoman, Superwoman, etc) to be very comparable to the male originals. (Which makes sense, in the respect that you don't really need a twin for the original; you want somebody new. The kind of "new" brought in by the female is generally disappointing to me, but that's a different rant.)

Gender-flipping Catwoman -- now that would be a neat trick.