You have nothing to lose asking her to lunch. Just lunch, no R talk. She can decide yes or no. If she says yes, you will have a wonderful opportunity to SHOW her your new behaviors. I'm wondering about something you said earlier, about 'knowing' she's getting hit on. Is it possible you are making assumptions on that? Let's suppose you aren't, and she's being hit on left and right. Have you asked, "How does that [the attention] make you feel?" Shut up and listen to the answer, it might surprise you. Do not do this on the day you take her to lunch. Peace.
Me:44, WAW hx bi-polar H:48, hx of abuse S:22, S:19, D:16 Filed Oct 08, dismissed Filed again Jan 10, dismissed Now Piecing alter persona: SuperBoots