So TRP has given me a lot of insight into talking to and acting around women but I don't know anything about how to act around her AFTER sex without coming off as a beta.

I just had sex a few days ago and immediately after I didn't know what to say. I realized that idolizing the sex with crap like "oh that was so great, you're so hot, you drive me crazy", would come off as kind of beta. I was mostly aloof while walking her back to her place.

I often text her when I get home so she knows I didn't die on the road in an accident. Didn't text her when I got home (phone was completely dead anyway and I just passed straight out into bed)

We had sex monday night, it is Thursday morning now. I haven't texted her. I don't know how to break the ice on the initial contact after sex. We had sex for fun, she is not an LTR, so this makes me afraid of texting her "hey great wonderful diva" because that's jumping into bf/gf stuff and that's beta. I can't really go much longer without texting her, and I can't text her "hey" because sending her "hey" out of the blue is something TRP has said I should not do. And I don't want to text for logistics because she will probably take that as me just trying to use her for sex now--normally, I text her out of a boredom once or twice a week and after two or three weeks I tell her we should set aside an evening to do activities together.

Basically, established myself as fun to hang out with our first informal 'date' and not as a perv just expecting sex. The second date, have more fun, make out at the end. Third date, go out, make out at end of night, have sex.

TL;DR: what is an alpha way to act immediately after having sex? What do you text her a few days after having sex?