Since the game is check-in, hiatuses can be given whenever. If the player takes a hiatus when a check-in is due, though, they must be sure to check-in before the hiatus. IC the character will have been abducted by temple priests to be taught the ways of the two deities. They'll be released to their homes when the hiatus is over.

For drops, the gods sometimes feel kind so it can be random or the character can say goodbye.

I should definitely add a comment to the taken post ASAP, then. I'll try and figure it out.