Relationship advice

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So I've been on a vacation with my old highschool mates and they brought thier elementary school classmates. 2 girl. One of them is smoking hot.
>Bluetooth hair
>Perfect pear shaped body
>Big brown eyes
>Pic is not her ofc. but looks almost like her.
So started to hit on her, I though she likes me, she said I'm symphatic after we talked some - maybe she didn't meant in a romantic way - but than I became a bit too zippy, and ofc she didn't liked that, I became annoying, but I couldn't help it. So when we got home I apologized on Facebook for being annoying and clingy, she said it's okay and If I would annoy her, she would not reply. So we started to talk, this was 3 days ago, we also talked 2 days ago, and she started the conversation that time. About the cost of the vacation.
My friend made an excel table who own money to someone. So she asked when could she pay her dept, but I didn't spend money on making the trip, so I though she just pretends that she owns me and It was just a reason to talk with me.
Yesterday I started the conversation but she only replied after her work, so she was probably tired and didn't wanted to speak with me so she stoped replying after 3 message. I was okay with that I didn't wanted to bother her. Today I didn't write for her, because I don't want her to think I have no life and I'm on social media 0/24 + I don't want to look clingy.

>SORRY IF IT WAS TLTR

Anyway what do you guys think what sould be my next step? Should I chat with her, or should I just ask her out? But what if it's too soon or she doesn't like me in a romantic way, and how should I approach?
HALP PL0X