Paranoid Lesbian Needs Unbiased Advice

So there's this girl (isn't there always) and we've been talking for over a month now. We say we are "hanging out" because she got out of a years long serious relationship two months ago (messy breakup, ex cheated, blahblah, etc). I also recently got out of a relationship, but I'm over it completely. She's also still talking to her ex but says she doesn't seriously consider getting back together with her, but does have feelings for her still.
Now the thing is, we text every morning and night and usually throughout the day and call each other fairly often. We see each other usually twice a week and we've made out and etc. The problem is, it's really undefined at this point and, like an idiot, I've started to fall hard for her.
She says she cares about me and I am sure she does, but I'm lost on what to do next. I don't want to be a clingy ridiculous human, but it's also too late, I've already caught feels, and I doubt she has.

What do I do?