Moyse represented Canada's national rugby team at both the 2006 and 2010 Women's Rugby World Cup. Moyse is considered one of the best fullbacks in the game. She has also been a member of the Canadian national women's sevens team and represented Canada at the 2013 Rugby World Cup Sevens in Moscow, winning a silver medal. At the 2010 Women's Rugby World Cup in England, where Canada finished sixth, Moyse and tournament most valuable player Carla Hohepa of New Zealand tied as the leading try scorers with seven tries each.