Oyarzábal's first position was of a Spanish language instructor in Sussex, England. After the death of her father, she met Ceferino Palencia, the son of actress María Tubau. Oyarzábal told Palencia of her desire of becoming an actress and Palencia cast her for the play Pepita Tudó. She kept writing and with her friend Raimunda Avecilla and her sister Ana Oyarzábal she edited the magazine La Dama y la Vida Ilustrada. She was also a reporter for the Laffan News Bureau (a minor rival to Associated Press) and the newspaper The Standard. In 1909 she married Palencia and then collaborated for the Spanish magazines Blanco y Negro, El Heraldo, Nuevo Mundo and La Esfera.
In 1926, she wrote a Spanish folklore book titled El traje regional de España. In 1930 she became the only female in the Slavery Permanent Commission of the League of Nations. In 1939, she relocated with her family to Mexico where she kept writing and died in 1974.