Stringent non-consequentialist constraints on permitting horrendous evils pose a formidable challenge to the project of theodicy by limiting the ways in which it is permissible for God to do or allow evil for the sake of bringing about a greater good. I formulate a general and potent argument against all greater-good theodicies from the existence of robust side constraints on permitting evil. Then I contend that the argument fails. I begin by distinguishing between side constraints on doing evil and side (...) constraints on allowing evil, and then I draw on the work of David Lewis and Fiona Woollard to argue that, because of the unique ways that God is related to the world, it is plausible that God can both create and sustain our universe, despite all of its evils, without violating any of these constraints. (shrink)