The pilot receiving instruction reported that, during landing in windy conditions, the airplane drifted left of the runway centerline. He added that he applied right rudder and aileron to correct, but when he realized the airplane "was going to drift to left of [the] runway," he initiated a go-around. The flight instructor reported that the airplane subsequently touched down "momentarily" and that he heard a "thump." The pilot then added power and made "several corrections" to maintain the runway heading and then established a climb. The instructor reported to the tower controller that the airplane may have struck a runway edge light. The pilot landed the airplane and taxied to the ramp without further incident. During postaccident examination, white paint transfer marks were observed on the runway leading to a runway light. The airplane sustained substantial damage to both the left and right ailerons. The pilot added that airport personnel informed him that a runway light was damaged and would require replacement. The chief pilot reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation. The flight instructor reported that the wind was from 350° at 12 knots, gusting to 19 knots. The airport's automated weather observation station reported that, about 3 minutes before the accident, the wind was from 340° at 13 knots. The pilot landed the airplane on runway 30.