For the 2018–19 season, Wright joined team Muirhead as the alternate. She played for the team at the first leg of the 2018–19 Curling World Cup as Muirhead had a hip injury. They finished in sixth with a 2–4 record. She played in her first European Curling Championships at the 2018 European Curling Championships. There, the team had a disappointing performance, finishing with a 4–5 record, missing the playoffs. At the 2019 Scottish Women's Curling Championships, the team qualified for the final but lost to Sophie Jackson 11–7. Wright also played in the International Mixed Doubles Dumfries that season with Craig Waddell where they lost in the quarterfinals. To finish off the season, Team Muirhead won the 2019 WCT Arctic Cup.