Grand Inquisitor
Acevedo was appointed Bishop of Valladolid on 30 April 1601 and he was consecrated as a bishop by Fernando Niño de Guevara, Archbishop of Seville, on 17 June 1601. Following the death of Grand Inquisitor Juan de Zúñiga Flores, Acevedo was appointed in 1603 Grand Inquisitor of Spain.