remember behaving like a gentleman and opening the door is the right thing for you to do. The fact a female is too low to accept the civilized behavior is irrelevant.
We don't open the door because she is a woman, we open the door because we are gentlemen.
This is very true, and I want to add that a man should never apologize for being a man and being masculine. If a woman along the way doesn't like it, too bad for her. In fact, often the women who roll their eyes and protest the much in the face of polite, but unambiguous and unapologetic, masculinity just can't stand there isn't a more powerful example of that in her personal life.
If you hold a door and a woman responds in a hostile way, laugh it off. It speaks volumes for her. HINT: It's not flattering!