Nava was the recipient of the Premio Nacional de Poesía «Ramón López Velarde» and the Presea Rosario Castellanos.
[2] She studied at the Casa del Lago Juan José Arreola; at the Faculty of Philosophy and Letters of the National Autonomous University of Mexico (UNAM); and at the Centro Mexicano de Escritores ("Mexican Center of Writers") where she wrote her first work, Aquí te guardo yo ("Here I keep you").
She participated in the collective management of the magazines Xilote (1969-1977) and Manatí (1974-1984) as well as La Brújula en el Bolsillo.
From 1980 till 1982, with the writers Juan de la Cabada, Eraclio Zepeda, and Saúl Ibargoyen, she joined the "Brigada Cultural Roque Dalton".
In 1984, and for the next two years, she participated in the Acción cultural del ISSSTE program with a group of 36 poets who gave poetry talks in all Mexican states.