Plot hole: Near the start of the film Tommy Lee Jones tracks a wounded wolf through the woods and removes a snare from its leg. The problem with this is there is no way he could have just walked up to a wild animal start touching it without it attacking. Plus this is a wounded animal which as anyone who deals with animals can tell you makes them twice as dangerous.
Suggested correction: There are numerous real-world stories of people interacting with wounded wild animals without being attacked, so it's not a mistake for the movie to portray that happening here. Even if it were impossible, it would not by definition be a plot hole but a "factual error."