Not originally on the World Cup or Olympic teams in 1968, Cutter, age 18, and Judy Nagel, age 16, were brought over to Europe in January, a few weeks ahead of the Olympics, to compete for berths on the U.S. Olympic team, which they both made. Cutter competed with the team at the Grenoble Olympics in 1968 and the World Championships in 1970. In the 1968 games, she placed higher than any American woman and was the only American woman to ski in all three events—slalom, giant slalom, and downhill. Following the Olympic competition, her rise to stardom continued in Norway, with her first World Cup victory at age 18. Cutter finished ninth in the overall standings in 1968. With three World Cup wins the next year (giant slalom at Oberstaufen, West Germany, and slalom victories at Mount St. Anne, Quebec, and Waterville Valley, New Hampshire), she finished fourth in the overall standings and second in slalom in 1969. Cutter won her fifth and final World Cup race at St. Gervais, France, in 1970. During her brief amateur career, Cutter had five World Cup victories, twelve podiums, and 25 top-10 finishes, all in the technical events, with one victory and two podiums in giant slalom and the rest in slalom. After the 1970 World Championships in mid-February, Cutter retired from international competition at age 20. She raced professionally on the Women's Pro Tour in North America for several years.