Taught to ski at the age of two, Wheeler's skills were such that she was soon competing against older ski racers. At age 10, she finished seventh in a downhill event at Mont Tremblant in a race that was open to participants of all ages. She won the Canadian junior ski championship in 1947 at age 12 and at 14 was selected to compete for Canada at the World Championships in 1950 in Aspen, Colorado, the first major alpine event held outside of Europe. However, her parents felt she was too young at age 15 to miss school and did not allow her to go.