I doubt this would cause any issue with meat
as most folks don't et meat about the face LOL

but it never hurts to keep a close eye on the meat when skinning, any infection or?? would travel from the face to the rest and should be seen in color issue's in its meat
injuries happen all the time
I haven't killed a deer up my way in yrs that didn';t have a bullet/or bullet wound in it, and the meat was fine
some times I cut a bunch off about the area, but never been an issue
and my buddy is a professional butcher that cuts mine up
so I always express concerns to him, and he says, as long as it doesn't look infected, just remove bad(lump or scar tissue) and your good to go
IF any bones look infected, thats another stry he says
as once an infections gets into there bones it can spread thru the meat!??
but I doubt it if he was sick, you would NOT beable to tell
because between now and hunting season, if it was sick, it would be thin and showing signs I think of being ill!