Went out on a two dates with this girl, her interest was through the roof, texting me all the time and asking ME out on a second date. On the second date everything was great than we cuddled in my room and I went for the kiss, she rejected and I acted a little standoffish and we had an awkward kind of Mexican stand off (she said she should go and I said ok and called her on her bluff and she wound up staying) after this little rift we continued to cuddle and everything was fine. I didn't text her that night and the next night she text me and when I didn't answer for a few hours she got all upset and wrote a crazy long message saying " I'm so sorry for making it awkward the other night, but kissing usually leads to sex and I didn't want you to think I was a slut for putting out on the second date and you seemed mad at me and when you didn't text me after the date or tonight I thought you were mad at me but I really like you which is why I text you tonight." I just told her no worries and totally understood than she said haha do you now! and i said no need for sarcasm with a little winky face than went to sleep because it was 2 am. She text me back saying you didn't really give me much to go off haha. So I guess she was looking for me to say " I like you too and I'm not mad" but that's not really my style so I just tex her back today and basically tried to set up a date for tonight which she took a while to respond to and than said she had a 21st party to attend. I teased her a little and than just told her I'd have to take out another one of my kidnappers (I tease her about trying to kidnap me when were on dates) for an awesome ice cream date with a winky so she knew I was just being sarcastic. She didnt reply or attempt to set up another date and today was the first day she didnt text me, it went from her being all over me to this awkward rift between us. I know if I get another date with this girl I can rebuild the attraction and fix this but at this point she seems a bit distant and I'm not going to put myself on the line again and be desperate. Normally this is just an obvious Next but this girl is serious dating material. Sorry for how long this was but my question is just simply how do I fix
This rift of her thinking I'm mad at her and being distant and how do I re raise her interest now, should I freeze her out or just delete her number until he contacts me? That's the route I'm thinking right now, I'm certainly not going to chase her because she
"Thinks I'm mad at her" for not hooking up with me.

Could be some miscommunication here, this is just my reading of it:

She likes you, doesn't want to be seen as a slut by putting out too soon, which probably also means she wants something more than just a casual relationship potentially.

She texts you telling you this, perhaps wanting reassurance from you as you yourself noted. Instead of this you try to set up a date (which is fine) but when she can't make it for legitimate reasons you cheekily say that you might have to take another girl out.

That's where you went wrong imo. You don't know that she 100% knew you were being sarcastic, but even if that's the case, she probably doesn't think you're down for anything serious or long term with a response and attitude like that. She could have shown that text to one of her girlfriends who then said "he's a player, forget about him" and that's why she has gone silent on you.

I think perhaps a change of tact is needed to reconnect with this girl, because maintaining the unfazed veneer of PUA-dom probably isn't going to work, that's if you think she's serious dating material. Showing a softer side isn't always a one way ticket to being a needy wet blanket.

Just my thoughts