Ildikó Szendrődi-Kővári was the daughter of Aranka Szeiler, a gymnast who competed at the 1928 Amsterdam Olympics, and ski coach Nándor Szeiler. Ildikó was therefore already skiing at the age of three and had a 2½ decade-long career that lasted from 1947 through 1972. During that time, she won 102 national titles, 64 of which were individual ones, and competed twice at the Olympics – 1952 and 1964 – with a best finish of 26th in the slalom in 1964. She earned a diploma in coaching in 1958 and, for thirty years, worked as a coach and trainer, not giving up skiing entirely until the age of 82. Her husband Károly Kővári was also an Olympic alpine skier.