I'm not disagreeing that LaTeX is free, exports to PDF, and is significantly more flexible than Word (or any other WYSIWYG word processor), but I don't think you're being realistic in your expectations of students. Your average undergraduate English student isn't going to bother learning the intricacies of a TeX environment, and even if they did they'd probably give up on the first typesetting error.
As far as "more professional", I'm not really seeing that either. A lot of resume-processing suites (brassring, etc) prefer Word to PDF files. Is that a reflection on the "professionalism" of the company that employs that particular HR suite? Or how about the Harvard Law Review? Are you calling into question their "professionalism" because they want Office files?
Well, yes, I guess I am. MS Office is evil. And I hate lawyers. Trumped up, overpaid arts students all. (Prepares for second wave of stupid arguments)
And I think everyone at Uni should learn LaTeX. And anyone who can't handle it should drop out. Like everyone should learn MATLAB, and Physics and Maths should be compulsory in senior high school, but English should be optional.
Clearly you're in your ivory tower (proved by your location) and I'm in mine. So as neither of us is going to sway the other, and I think I've made my point that the OP should print to pdf before sending stuff to his prof, I'm going to bed.
'night MacRumours