He actually had another Possessed turn on me after this one, so he played the Fishing Village and passed.
He probably would've been safe playing the Golem -- I had 1 or 2 Possessions remaining in my deck at the time and at least 5 or 6 other non-Golem actions (a couple Labs, FVs, a Watchtower and a Haggler) but I guess he decided not to risk it.
Ultimately I won in a close three-pile that was decided by Estates.