You only met her a week ago, you are "definitely interested" in seeing her exclusively, and have been together everyday for at least an hour or two.
I'm not gonna shoot your budding romance down, but be careful about sinking a lot of time or hope into a girl before you know her. If you don't demonstrate you have boundaries, it's a mark against you. If you are young it may not matter much, or if there are extenuating circumstances, as if she lives next door or something. But if you are pursuing her too hard, you plant the seed in her brain, "I could do better".
If she's just fearful/cautious though, how do you communicate sex is important for you? I am dating a girl who would not have vaginal sex. I was always polite, I dropped off condoms and said she could keep them (since she had none at her place), I asked if something was wrong but didn't press the issue as she got self-conscious, finally I started to disengage because I was not happy about it. Eventually she confided she was a virgin, everything clicked, and we moved past that. It won't last forever but I'm happy we both got what we wanted. Girls have lots going on in their head, don't assume you know what it is.
So here's the trick: what she is thinking, isn't the entire battle. Sun Tzu said “If you know the enemy and know yourself, you need not fear the result of a hundred battles. If you know yourself but not the enemy, for every victory gained you will also suffer a defeat. If you know neither the enemy nor yourself, you will succumb in every battle.”
So how do you 'win' (that is, have a positive dating outcome)?
1) Focus on YOURSELF. Maintain your boundaries and conditions, communicate them clearly, be in tune for when you start to lose yourself, don't make exceptions just because you like her. Be aware of how she affects you. She is owning the sexual frame, meaning that you're being walked over.
2) Qualify HER. You need to know her to inform your actions. So draw out information, don't let her keep her secrets, put her on the spot and see how she reacts. That doesn't mean being an ass -- it means demanding she deals openly with you, and that kind of demand wins respect with a woman. Women want a strong man -- strong men judge women and demand fitting behavior of them.
In short, you can respect her decisions, but you absolutely, absolutely need to own your frame. If you start feeling like you're getting strung along, don't overreact, take steps to reassert yourself. As of now it seems like you're getting blown around by your hormones (hope that's not impolite to say).
