C.P.
"Siincere question: How do you move beyond something if you aren't willing to address it, but each of you feels slighted and disrespected? "
This is pretty simple: Suck it up, take the high road, and apologize. Understand that there are some people who take offense to everything. If you want a relationship with her, just get used to it and be prepared to communicate "what I meant was..." and if you don't, then cut it off.