[Fortuna]: Luck depends on no one....right? (4/3)

From the fact that Zeus had to go looking for Apollo, I'm pretty sure that the tutorial banishment isn't just something the leader of the gods snaps their fingers and does. And cronus putting himself in the firing line of Eris seems unlikely.

Also she's a limbo god and the rules of the greek gods do not apply to her, either in protection or restriction.

The rules aren't mechanical, the gods need to enforce them. If the gods think Eris is a Greek god, the rules will treat her like a greek god.