In 1941, she was licensed in Spanish Philology in Madrid, having been a student of José Ortega y Gasset and Américo Castro.
[citation needed] Between 1942 and 1953, Alonso was a professor at the Faculty of Philosophy and Letters of the University of La Laguna.
She earned her PhD at the Central University of Madrid (now Complutense University of Madrid) in 1948 with a thesis entitled "El Poema de Viana, Estudio histórico-literario de un poema épico del siglo XVII" ("The Poem of Viana, Historical-literary study of an epic poem of the seventeenth century "), directed first by D. Dámaso Alonso, and then by D. Joaquín de Entrambasaguas.
After having been banned from teaching by the Francoist government due to the republican affiliation of her family (her brother Elfidio Alonso had been deputy for the Republican Union party and was in exile and sentenced to death), she began the procedures to present herself to the University chair.
After having been informed unofficially, but very clearly, that she would never be a professor there, Alonso resigned from teaching at the University of La Laguna and emigrated to Venezuela in 1953.