Gut shot:
Munties: Leave for the birds and foxes etc
Fallow: Take the haunch, and maybe loins dependent on where it was hit.
In all honesty, it just ain't worth the risk. Never washout, creates more issues than it needs.
Nicked gut on gralloch:
Small nick: cut away affected area
Large nick: as above
There are plenty of deer out there for the freezer, so in my opinion it isn't worth it.
PS there is some shite advise on this thread, sorry but ......................