The beginning of Aguirre's career was fortuitous. She was discovered when she was teenager, in a beauty contest held by a cinematographic production company called CLASA Films Mundiales, which was looking for new talent. Thus, she and her sister Alma Rosa were chosen to appear in their first film called El sexo fuerte in 1945, directed by Emilio Gómez Muriel. Since then, Elsa Aguirre has starred in many types of films such as drama, romance, action, fiction, etc. throughout her career. Elsa Aguirre appeared with her sister Alma Rosa in some of her films.