Urgh, this one is subject to some discussion, Nonnie! I just remembered this essay, and the fab blog askmiddleearth has some analysis here as well.
I seem to remember too that there was some discussion at the time about Elf women fighting at Helm’s Deep in the films (not the Arwen deleted stuff, but that some of the Lothlorien Elves/extras etc were of the Lady persuasion). I could be wrong, it was a while ago!
but! Tolkien specifically says this: There are, however, no matters which among the Eldar only a ner can think or do, or others which only a nis is concerned. So anyone can p much do anything, and did, if their name was Luthien.

