What do I do about grammar disagreements?

I just got a rough draft of my paper back from a professor, and a lot of her comments revolved around my use of ‘they’ with a singular antecedent, rather than ‘him or her’, the world’s clunkiest phrase; and around my use of the passive, a handy construction. Without getting into the rights and wrongs of all this, because I’ve got my views, what do I do? I don’t want to change my style, which reads well as is, to suit her—I’ve successfully agreed with other teachers that I can use my own judgement on these issues, but she probably won’t bend on that. I’m looking for tricks which can be used to avoid these issues entirely—ways to restructure phrases without using ‘problematic’ constructions that would make one or the other of us unhappy. Maybe this won’t work without specific examples, but I just wanted to see if anyone had tips.