When she was fifteen years old she became part of the National Ballet of Venezuela, directed by Irma Contreras.

Rodríguez was impressed by a show of the American Ballet Theatre in Caracas and decided that this was the company with which she wanted to continue her professional career.

With the ABT, Rodríguez played almost all the main roles in the classic ballets of the company's repertoire.

She decided to leave the American Ballet Theatre to join the Hamburg company, where Neumeier created many choreographies especially for her, for which she was praised by critics and the German public.

In 1980, accompanied by the dancer Mikhail Baryshnikov, she traveled through different cities of Brazil performing twenty functions with the pas de deux, El Corsario and Romeo and Juliet.