Wofford competed in the 1968 and 1972 Olympic Games on his famous horse Kilkenny, winning team silver both times, and was also named to the 1980 Olympic Games but did not compete due to the Olympic Committee's boycott of the 1980 Summer Olympics. He was one of 461 athletes to receive a Congressional Gold Medal many years after. He also competed on the US Eventing Team at the 1970 World Championships at Punchestown, Ireland, winning an individual bronze with Kilkenny, and at the 1978 World Championship with Carawich, winning a team bronze.