You said you don't want to play games, but the truth about most women is that is exactly what they do. Women have been that way since the beginning of time! Most of them do not refer to it as games, but most men call it game playing.
You also said you didn't want to rush into things. When you say you slept in the bed with her, and then she spent another night at your house....did that include sex? Kind of strange, since she just didn't feel it a few hours earlier, don't you think?
I'm going to call it like I see it. She's playing you big time. If you ever stand a shot with her....EVER....she will need to be convinced that you cannot be manipulated no matter what she pulls out of her little bag of tricks. And know this....she must continue to see that she cannot manipulate you long after she moves back home.
A woman is not sexually attracted to a weak man. A man who can be easily manipulated by her is seen in her eyes as weak. Some people say it's b/c she wants what she can't have. I don't think it's that she can't have it, but she sure as blazes needs to work her a$$ off to get it! That's the only way she'll appreciate it. I believe that is why a lot of women are attracted to the alpha type, b/c he's not so easily won over by her coy games.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!