What convinced Inca armies to retreat in their war against the Spain in 1533?

The Inca armies retreated in their war against the Spanish primarily due to the death of their leader, Atahualpa, who was captured and later executed by the Spanish. This created a significant power vacuum and led to disarray among the Inca forces. Additionally, the technological superiority of the Spanish, including their guns and cavalry, combined with the spread of diseases that weakened the Inca population, contributed to the decision to retreat. These factors ultimately undermined the Inca's ability to continue their resistance against the Spanish conquest.