If you don't care about them and don't care if they're offended, keep on doing whatever.
http://www.nbcnews.com/id/25680655/ns/us_news-life/t/univers...
I'd venture to guess you're also both rational adults, and you if care about someone, and they're offended at lots of different stuff (sexist language, passing clouds, the endless sea), then you could talk about why passing clouds and the endless sea offend them.
This really comes down to human decency; if you see women as people first, worthy of respect and care, then you'll probably want to minimize how much you offend them, instead of placing the problem of being offended on them.
Can you reconcile "I respect you" and "I'm not going to acknowledge your being offended, but instead will tell you how you're wrong"?
My neighbor responds, "because the blue-shirted security forces in the dictatorship where I grew up killed my family when I was young, and it's very troubling to be reminded of that, even now."
Done, I stop wearing blue shirts.
To continue with the stupid analogy, I'm crediting my neighbor with not being irrational, and putting in the effort to listen and hear them out.
Just like I credit women, back in the real world, with not being irrational, and I hear them out about their complaints/frustrations/laments about sexism in tech.
"I hope [they] would meet me in the middle ... by evaulating their overreaction"
It's your assumption that what they're doing is overreacting, that's the problem.