(19 y/o)

I am not dating or going out with this girl, however, we have mutual friends and went out together with two other friends around two-weeks ago. Me and her got pretty drunk at a restaurant and she clearly showed high-interest, going out of her way to hold my hand and trying to get alone with me (I was too focused on seeming sober that escalating there didn't even come to mind). She also exclaimed that she wants to see my apartment (I told them that I was in the process of moving out).

So knowing all this, I was thinking of asking her out to my place to cook some food together. I know she likes cooking, so it would be something up her alley. But for some reason, something about it just doesn't sit right. It comes off as too forward and too little left to the imagination about what my intentions are and it makes me feel like she may not be comfortable yet to come alone to my apartment.

It's probably just me, and what I'm really looking for is a second opinion.

Cheers.