The problem with the ungendered pronoun is that it's not yet universally accepted in the English language community. There's ze, zi, te [I heard about this one from my English 101 teacher YEARS ago], singular they, and so on. I'm not downing the use of ze, but it should be noted that no university has adopted it as part of English language program, and most low level courses would definitely frown on its use unless you got a cool teacher. :3
-- Bridget