Together with her sister, Ángela Cuenca, she starred in the Buenos Aires variety stage shows in numerous theater companies led by leading figures in Argentina such as Tita Merello, Perla Mary, Héctor Quintanilla, and José Otal.
She starred at the Maipo Theater where she worked extensively with Ivo Pelay, Pepe Arias, and Marcos Caplán-Pepita Muñoz.
[1] Her theater credits span the period of 1928 till 1946.
Already in the 1940s, Cuenca was part of the Argentine cinema era with roles as a supporting actress.
Her first film role was in 1940 in the comedy, Educating Niní, along with Niní Marshall, which also included the film debuts of Mirtha Legrand and Silvia Legrand.