Kidd spent the majority of his junior career with the Brandon Wheat Kings of the Western Hockey League. In 1989–90, He was named a WHL East First Team All-Star, the Del Wilson Trophy as WHL goaltender of the year, and won the CHL Goaltender of the Year award. He was traded to the Spokane Chiefs in 1991, and led them to the Memorial Cup championship. Kidd represented Canada three times at the World Junior Ice Hockey Championships, winning gold medals in 1990 and 1991. He also won a silver medal at the 1992 Winter Olympics as the national team's backup goaltender.