When I read your story, even the part where you came back with coffee, I just get the feel of this intense focus on the relationship, both from you and from her. She is looking at you for where you are lacking and you are looking at her for where she's lacking. There is just too much dissecting and analyzing it. I just don't think it will stand up to such scrutiny. Just leave this alone for awhile. All this stuff doesn't need to be repeatedly said. Just be yourself and let her deal with her issues. If she wants to hang out with you, then hang out. If you feel like taking a break from her, then take a break. But quit thinking so hard.
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer