He was the firstborn son of the powerful Cardinal Pedro González de Mendoza and went on to become the 1st Conde del Cid and the 1st Marquis of Cenete, a title he held from 1491 until his death.
Rodrigo began his military career in the Granada War under the command of his uncle, Íñigo López de Mendoza y Quiñones, the 2nd Count of Tendilla.
After Rodrigo returned to Spain, he married a second time with María de Fonseca y Toledo,[3] ignoring the express wishes of her family and Queen Isabella I of Castile who forbade the marriage.
Before long, he left the palace for his dominions in Ayora in the Province of Valencia due to a confrontation between him and his uncle, Íñigo López de Mendoza y Quiñones.
Rodrigo was favored in the dispute by Philip I of Castile and Íñigo by Ferdinand II of Aragon.