Hiss started her racing career in 1964, competing in Sports Car Club of America-sanctioned Showroom Stock racing, winning two California club championships. In 1974, she was named "Most Outstanding Woman Driver" by the Sports Car Racing Enterprises for Women. In 1976, having received a USAC competition licence for the first two races of the 1976 USAC Championship Car season, she became the first woman to start an USAC Championship Car – "Indy car" – race when she entered the Jimmy Bryan 150 at Phoenix International Raceway. Hiss drove the No. 51 Copper State Racing Eagle 74-Offenhauser that had formerly been driven by Lloyd Ruby. Hiss qualified 21st out of 22 cars with a speed of, while pole sitter Al Unser, Sr. had a speed of. In the race, Hiss was black flagged for going too slow. She said of this issue "I went up high on the track to let faster cars past. I guess the officials were concerned I was tired, so they brought me in to check. I told them I wasn't and went back out." Hiss ultimately finished in 14th place, albeit with only 128 of 150 laps complete. Hiss also announced that she would enter the Indianapolis 500 and she tested at Ontario Motor Speedway, a track nearly identical to Indianapolis Motor Speedway. Her best lap speed was around. Ultimately, Hiss was not entered at Indianapolis and Lloyd Ruby drove the car. Instead Hiss moved to the United States Auto ClubStock Car series, running five races over the course of the remainder of the year. Her best finish was a 9th in her first race at Texas World Speedway, driving the No. 9 Steve DrakeDodgeCharger, although she finished 20 laps down to winner A. J. Foyt. Later that year, Hiss entered the 1976 season finale for the NASCAR Winston Cup Series, the Los Angeles Times 500 at Ontario Motor Speedway in the No. 38 Let's Dine OutChevrolet Monte Carlo owned by Tom Williams, but failed to qualify. In 1977, she entered the West Coast 250 at Ontario Motor Speedway, an event for the NASCARPro Series West in a Chevrolet, but failed to qualify. Hiss retired from racing in June 1978, to pursue a business career.
Criticism
During Hiss' brief career in Indy cars, she attracted criticism from people in the sport. Gary Bettenhausen said, "This is a man’s business and she has to be measured by a man’s standards if she is going to compete. By those standards, she didn't measure up." Bobby Unser, who won the Phoenix race, blamed the press for pressuring USAC to allow Hiss to run. He remarked on Hiss, "It's a sad day when some woman gets in a car and pokes around the track slower than anybody else and then all the writers and television cameras crowd around her and ignore the professionals." Bill Vukovich II was also critical of Hiss. Drivers discussed boycotting the next series event, at Trenton Speedway, if Hiss was allowed to compete, due to her being considered "dangerously slow". However, Hiss said most drivers were supportive, and that A. J. Foyt "told everybody what a fine job I'd done" after her first USAC Stock Car race in Texas, while she and Unser later became friends.
