Becky Smith had her breakout year on the Canadian national swimming scene in 1973, when she took home six medals, five of them gold, at that year’s Canada Games. The following year she gained international attention by winning the 4x100 metre freestyle relay (alongside Gail Amundrud, Anne Jardin, and Judy Wright) and capturing silver in the 200 and 400 metre individual relays at the 1974 Commonwealth Games. For these accomplishments, two years before she attended the Summer Olympics, she was inducted into the Alberta Sports Hall of Fame. Her next stop was the 1975 World Championships, where she took bronze in the 4x100 m relay with Amundrud, Jardin, and the non-Olympian Jill Quirk. She was then selected to represent Canada at the 1976 Summer Olympics, where she won bronze in the 400 m individual relay and the 4x100 m freestyle relay (alongside Amundrud, Jardin, Barbara Clark, and Debbie Clarke), while also being eliminated in the opening round of the 200 metre butterfly. Her final major international tournament was the 1978 Commonwealth Games, where she earned silver and bronze in the 400 and 200 m individual relays respectively. Although she competed at the college level for several years after, she retired from international competition following these Games.