She made her first Olympic appearance in 1952, winning the silver medal behind Jeannette Altwegg.
Less than two weeks before the 1956 Olympic Games in Cortina, Albright was practising when she hit a rut. As she fell, her left skate hit her ankle joint, cut through three layers of her right boot, slashed a vein, and severely scraped the bone. Her father arrived two days later and patched her up. In the Olympic competition she skated well enough to earn the first-place votes of ten of the 11 judges.
Back in the United States Tenley entered Harvard Medical School to eventually become a surgeon herself.