Dude, you have nothing to apologize for. I understand why you feel like you do, I would to, but you don't. She took the liberty to be offended over something not directed at her, at your expense. By doing so she caused great damage, not only screwing you over greatly but also doing a huge disservice to the struggle for equality within the tech industry. I realize women have to put up with a lot of crap. I'm often flabbergasted by the kind of harassing childish behaviour women witness to at workplaces, conferences and user groups. The kind of stuff you can't believe adults can resort to. This is something different completely.
I hope you find a new job soon. Don't let this unexpected bump keep you down.