Thinker, in spite of everything, I feel horrible that I put H through that.
All I can say is that I understand. And I don't think you should approach her sexually. She has rejected you and insulted you. I think there are other ways you can exhibit your confidence...
I think dating might be weird while you live with her but can you at least get out and flirt? All of that rejection has surely eroded your confidence. I didn't agree with Gucci before but I do now. We are social and sexual creatures. You need to feel viable and desired. IMO.