I am running DitV with one of my home groups at the moment and have a constant fear that the Dogs are just going to come in to a branch and decide that the heresy that exists there just isn't actually heretic. It's not happened yet, but I'm not sure what to do if it does.
Unless I've missed something, if the Dogs come in to a town and the big 'problem' is that Br Jed has decided that his wife Sr Mary is no longer the one for him and the King of Life is happy for him to set up home with Br Henry as his new wife if the Dogs just go 'yeah, I've no problem with that, nothing wrong here' everything is just kind of instantly better. If I've decided that's why the demons were there, wouldn't they just shrug their shoulders and leave, or would they latch on to a different 'sin' in the set up and just change allegiance as they were in the area?
I may be worrying over nothing, a mix of pitching the heresy right and the unspoken contract of 'we're here to deal with heresy so something here must be heretic' could just gloss it over, although I know the latter is what we did in the first game I ever played and because we felt we had to be upset by what was happening it just didn't feel 'fulfilling'.
I'd be interested in hearing if other people have dealt with similar worries, or just some general 'don't worry' type advice :-)