...someone being so intensely into me is often a sign, for me anyway, that they are a passionate and intense person. There is absolutely nothing wrong with either of those things.
I have been told I am both, actually.

However, I am also 31 (will be on the eleventh). At 31, I really feel you should be able to reign that in some what, know when to dial it down, protect yourself, protect your heart.

There is a huge difference between wearing one's heart on one's sleeve and just being a super impulsive, clingy person who needs instant elevated reciprocation.

And while maybe there could be a little bit of mood fluctuation, intensity, some variations in how the relationship functions as a whole due to your individual mental issues or whatnot... on the surface, it's not that different, and I would call her behavior odd and a little suspect.

Frankly I would proceed slowly, with caution, and keep the exit in sight for at least the next few dates?

Though, not to put too fine a point on it, but it's sort of necessary... You say you don't have much experience with relationships. So, in the interest of really just exploring this whole thing for your benefit, OP [and obviously you are free to opt out at any time]… what is so great about this woman?

I'm not insinuating there isn't anything great.

But, you didn't actually mention anything specifically and uniquely fantastic about this person.

She likes you, kissed you almost immediately, claimed you as her own... is a bit manic pixie dream girl, maybe.

You are young and if you haven't dated a lot, you might not know that there are a lot of people who fit this general description who will not demand ultimate fidelity right out of the gate.

I'm not suggesting extreme promiscuity, and personally I'm not all that down with this new trend of "seeing someone" for like years but never establishing anything....
But in this given situation- I mean, you want to go one on one with some one you just met and don't know?

I don't know.
I don't know you. I don't know her.

Just some things to think about maybe? Ultimately it is completely about what works for you, obviously. Just thought you might want to turn some things over in your head.

Be well.
Josie.