I'm a woman and here are my thoughts:
There are so many reasons why a woman likes talking to a random guy - of cource she is aware of the situation being sexually loaded, but that doesn't mean she actually wants sex with that guy. It's exciting to feel sexual tension and attention and it's fun to be admired and desired. Often, this is enough and we don't want more. Like one friend of mine, who is happily in a realtionship says: sometimes she goes out just to "test her market value". I understand this can be frustrating for guys.
The other thing is about "moving fast". I think if this is going to work, there has to be a *strong* sexual attration and tension there - before you move. If a woman shall have sex with a random stranger (or in this case, almost stranger), I think she both needs to feel very attracted - and very safe.
And that's another point: I don't know if guys really understand how deep the fear among most woman is for not being respected for their boundaries - and ultimately being abused/raped. Hence, most women have very sensitive radars for this, and if they sense that you don't understand or respect boundaries, or they are afraid you won't be sensitive and pick up and act on social cues, they will slow down and even totally reject you.
(A very different, but related subject, is that many men in my culture (North European) are *too* aware of this, which makes them to careful and inhibited towards women, and that's not a good thing either. I actually would love to see a post on this!)
Here is my guess about were you went wrong:
First, you didn't remember her. This makes her understand that you approach a lot of women this way. It's also clear that she didn't make a that strong impression on you in the first place (which is strange if she really was as beutiful as you describe).
Second: she declined following you to your appartment. Her reply "next time" can mean that she wanted to keep her options open or it might have been a way of rejecting you in a polite way - I don't know if she had made up her mind already at this point.
But *then* you try to kiss her even if she turns her cheek towards you and not her lips. She has already said she doesn't want to come with you to your home, she obviously isn't that excited, and you don't pick it up and continue pushing her.
Men who make physical moves when they should have understood that they shouldn't, will make most women back off.
Just my thoughts!