Is she trying to get you to be a provider?

Possibly.

You can't know for certain because there are many variables at play. What if she's a virgin? What is she's only slept with guys that she has dated? If you know she's a whore or would put out with other guys (you have to know the signs or probe her indirectly and find out), then she isn't attracted to you enough yet. It could be physical or it could be mental.

If this girl said it's too soon for that, that means pussy is on the table but prove to me you are worth fucking for free. If you can prove it to me, I'll spread my legs... if not, then I'll relegate you to provider/friend.

It's up to you to decide whether it's worth the hassle of bedding this woman. You can view it as a waste of time or you can use it as a playground for you to try to up your seduction skills.

If you have game you can turn the tides. This comes from understanding communication and what the intent is behind her messages. Communication is just a medium to exert your own power or to get dominated. When she says something like hmm cooking where exactly, you respond your place, she says it's too early for that, you say I don't think it is but okay (implying that your data points up till now with our women is that we should be fucking and if she doesn't see it that's on her.. in directly testing her and saying her calibration is off). This will send her mind into a frenzy and force her to shit test you again/requalify you to see if you really are the alpha or if you just lied. Anyway, any shit tests hurled your way are an opportunity for you to show that you are worth fucking.

Read up on power talk and hone up your skills.

Others have already pointed out the low ioi stuff, but I’ve got something else here.

One other thing I noticed from your post: both after your date and later for cooking, you suggested her place. I see 2 issues with this.

1: Logistics. Even if her friend staying with her was a lie, she might just have a messy place or isn’t ready to have you over for some other reason.

2: Asking to go to her place for a 2nd date after she said no to you coming over before. You actually might still have been in the game. But you were done for sure once you asked the 2nd time. It makes you look too eager to go to her place, not enough plausible deniability, trying too hard to get in her bed, whatever.

See if you can figure out your logistics. She might just not have been ready for you to come to her place.