Before playing for Muirhead, Wright curled for Hannah Fleming. She was the alternate for Scotland at the 2013 World Junior Curling Championships, where the team won a silver medal. She won the 2018 Scottish Women's Curling Championship as lead for Fleming to qualify for her first World Championship. At the 2018 World Women's Curling Championship, the team struggled, finishing the round robin with a 5–7 record.
