The correct answer to this open question is the following.
How were acculturation and patriarchy linked in the Spanish colonies?
Acculturation was one of the first things that Spaniards wanted to permeate in the Native Mesoamerican Indians in order to transmit their religious teachings and make the Indians receptive to the evangelization of the Catholic church principle.
Patriarchy was also one of the things that came from the social structure of Spain, in which the father figure was the most important in the Spanish family. The father was the "chief figure" in the family, the provider. The mother was the one who stayed at home, raising children, and taking care of the house.
What resistance was there to Spanish cultural, political, economic acculturation?
Practically, the Native Indians opposed every Spanish imposition for the simple reason that those elements were not part of their culture. Spaniards tried to change the Indian's religion, social customs, and approach to life. And of course, Mesoamerican Indians opposed every inch to it.