Who is Gil Carter from The Ox-Bow Incident and what is their importance?

Gil Carter is a cowboy who likes to blow off steam by picking fights. Gil celebrates his first day back in town by getting drunk and winning big at poker. This leads to a fight with Farnley, another cowhand Gil knows well. Just as Art gets Gil calm and recommends he give Farnley some of his money back, the crowd at the bar hear that Kincaid, another cowhand, has been killed.