We meet the trapper's father after the trapper gets freaked out by seeing Enkidu at the watering hole. The trapper goes to his dad to ask him for advice. His dad tells him to go to Uruk and get Gilgamesh to lend him the services of Shamhat, a temple-prostitute.
According to the trapper's father, once Enkidu sleeps with Shamhat, he will no longer be a wild man. We don't know how the trapper's father knows about Shamhat, or how he cooks up this crazy plan, but it works. That's all we know about him.