Since there's some interest on the topic, I think it'd be nice to share my new idea about what I think may be going on.
I forgot that I actually met her twice before she came to my house. Both times I refused to look at her as in having an interest or it being a "love on first sight". First time I was friendly to her and formal, I only looked at her shortly. Second time she peeked around the door and I refused to look at her. Since she's very good looking my guess is that she may have been expecting my attention, which would be the reason why she looked at me strongly when she visited me. I still think we have some "click" at least, and my guess is she is confused now about our contact like she doesn't know what's going on or what she wants (she's trying to be formal but fails horribly and I think she's avoiding me now. This has actually been described in the twin flame information by the way).
I don't think any of that is happening. If she is avoiding, and has more experience in dealing with people being attracted to her, then it's likely that she detects that your interest and is trying to keep her distance to avoid an awkward situation and to try to avoid hurting you.
Here is a very important lesson for every one to learn: Just because you "click" with them, doesn't mean they "click" with you.
I have been on both sides of this. I thought me and a girl (I was very young) "clicked" but it turns out she didn't like me in that way. It hurt me more than it reasonably should have, and I decided not to assume anything about another persons feelings from then on. Later in my life, a woman who I thought of as just a friend thought we were on the same page romantically and I ended up hurting her and we never talked again.
You have to be able to see things for what they are and it looks like that twin flames stuff is clouding your judgment and bringing you to false conclusions.