While you make a good point and I understand what you are saying, it's not paying her to come to me. It's making a gesture, much like opening the door for her. She is well off and doesn't need my money and repeatedly declined. Well we are acting like a couple already, falling for each other fast. I don't want to be totally cold and aloof when she is initiating hard feelings like the is, because THAT is as bad as telling her "I LIKE YOU" or "I LOVE YOU" right out of the gate. But we do have chemistry together. No I'm not a fan of long distance relationships but I've been considering relocating and she happens to live in a state that is a viable candidate.
Big question on THAT is how long before we make that call...I don't want to do it too fast before I really deeply get to know her, but at the same time I don't want a year long distant relationship where I have to fly 5 hours to see her and then have her fly here 5 hours to see me every couple weeks. While you do get to spend time getting to know each other, it's also the highlights reel for the most part because you aren't there daily for those mundane things and those annoying things. There were some slight things, but so minor that it was nothing, so it's not like it's purely honeymoon seeing each other like this, but it's not QUITE the same as living together daily where it really starts to grind on you.
I wouldn't really say I'm doing everything I can to keep this one. She flew to see ME, not the other way around, despite her trying to suggest I go see her first. So I really haven't done anything to "keep her". We had sex, watched movies and ordered take out.
That said I am open to suggestions on how to reciprocate affection without giving too much away and not being too much of a challenge.
On an interesting note, she always initiates calls with me. As of about 2 weeks ago she started feeling comfortable enough to start calling me. When she called after arriving back home, we talked for about an hour, laughed and talked about how we both had a good time, I ended the conversation first and told her I'd text her the next day (to end the conversation on a high note, keep her wanting more and let anticipation build).