What you think is harassing might quite well disagree with target female view of what harassing is, complicated by the fact that HR department might disagree with you both. And should that whole thing become public, you'll be judged by the entire office, with the entire spectrum of views on what harassment is.
Personally, as a male, you have absolutely nothing to gain, and everything to lose. The most rational thing is to not engage at all.
Personally, as a male, you have absolutely nothing to gain, and everything to lose. The most rational thing is to not engage at all.