It's 100% your choice. But I see a possible problem down the road.... To me, it's a BIG, BIG red flag when someone immediately tries to change you. Especially if she knows the change isn't something you also want. That doesn't mean all cases, for instance my wife asked me to grow (head) hair. I have the worst "white afro" of a mess you've ever seen, unless I take as much time as women to fix it after I shower. So I kept a buzz cut for years, until my wife asked me to grow it long. So I made a deal that I'd do it, if I can wear a hat whenever I don't want to spend 20 minutes in the bathroom after I shower. If we're going someplace with hat not-OK, she does the task of taming my hair, so as we don't get approached by the media asking "where was the terrible explosion that you escaped from"???
As far as body hair, I shave everything, and my wife likes it that way. She wouldn't ask me to grow chest hair or other, since she knows I don't like it either. If she absolutely wanted me to for some reason though, I probably would, but we've been married for several years, and in an excellent relationship (God willing). The fact that she has built my trust for all this time, makes it a little different if one of us wants the other to make a change. I think it would be a total taboo in a new relationship. It could be a test to see how easy you are to manipulate, or she could be selfish, or she might just be honest. Only you can make that judgement.
Charles