I shave my legs, not my underarms...
if you bathe each day and use a good natural deodorant, the odor is not a problem...hot days are a different story, but that's true for people that use anti-perspirants too. the human body needs to sweat; plugging up the pores with alumnium is not a good idea. Besides, it's not sweat that stinks; it's bacteria. a deodorant with tea tree, lavender or bergamot works great. (I use Jason's tea tree, or aromarant from Lush)