Oh so the worlds she visit aren't the actual stories, they are worlds that fill out the blanks left by the authors. That explains a lot, I kept wander what kind of sociopath was writing all the stories she keep ending up in.
It's kinda ironic for the MC to mention Zeus fucking Gaia when I know for a fact a lot of Asia mythologies have just as much incest going on as the greek myth.
Contrary to what the system thinks, being Zeus's daughter might not be the protection he thinks of, depending on the specific myth, Zeus can be a very fair and wise leader who very much punish his kids when he thinks they're being fuck ups or messing with mortals for no justifiable reason. Just look at how he treated Ares for being a fuck up. The fact she's supposed to be Artemis, a goddess with a vow of chastity and she broke it might piss off Zeus in and of itself (especially since in some version, she refused his advance using said vow IIRC).
Also 'Lourd' is a word, just not in greek, it means heavy in french.