There haven't been many female bullfighters, and being a female bullfighter back in the 1950s made Patricia McCormick even more of an oddity. Wikipedia
offers this brief bio of her:
Patricia debuted as a bullfighter in September 1951 in Ciudad Juárez, Chihuahua. She joined the Matador's Union soon after and began bullfighting as a professional Matadora in January 1952. Throughout her decade-long career, she fought in 300 corridas throughout Mexico and Venezuela. Six times bulls gored her, once so seriously that a priest administered last rites.
has some info about the history of female bullfighting:
Women have fought bulls since the 18th century, but a law in 1908 banned then from the ring on the grounds of "decency and public morality". The restriction was lifted in the 1930s but reimposed by the dictator Francisco Franco in 1940. It was lifted again only after his death in 1975. Women bullfighters still remain rare.
Read more about McCormick here