There are sevral diseases a man could get from wild animals-rabies,brucelosis(makes your balls very big
),leptospirosis(from rabbits-dangerous -don't touch sick looking rabbits),trichinella spiralis-parasite(you get that from eating infected pig meat when it is not cooked enough-for example sausages-be careful of that one-it can't be cured-take pig meat for analysis if you are making sausages or smoking the meat) ,echinococus...there are more but I don't know the names
.
I still don't use gloves while processing game,but I use gloves,nylon bag or a stick when I touch a fox.
PS You should really get pig (wild and domestic)meat analyzed for trichinella!!!