1) He's the Governor, not just an elected official. One that has a spotty record on conservation & who was just defeated on his first major wildlife bill (HB 505).
2.) He was with a lobbyist who manages the ranch, so we don't know that he actually trapped the wolf himself.
3.) He's in the middle of his first legislative session. That's a more than full-time gig when you're a seasoned Gov, during your first session, it's more than double full time. Not sure he had the time to set the trap, check it every 48 hours, and then go back to retrieve the animal.
4.) This place is owned by a media mogul who intentionally biases his stations to favor politicians of one persuasion, and this ranch is used heavily by political elites as their own playground (Daines, Rosendale & Gigi all hunt there).