1. Shrines will offer some protection longer than the villages which will fall very shortly. However, by day 3 when powers start to seriously fluctuate they will almost entirely have fallen. Shrines of deities that have had special attention from residents brought to Kannagara will stand the longest, such as Konohanasakuya-hime's.

2. Defiling a shrine with gay sex? (Boku's laughing.) Depends on whose shrine. But any retribution is unlikely to happen during this event; they're a little distracted. Possibly something poetic and ironic in not-too-hostile retribution after the week is over. It's up to what you as players want to do.