What convinced Inca armies to retreat in their war again the Spanish in 1533?

The Inca armies retreated during their war against the Spanish in 1533 largely due to the death of their leader, Atahualpa, who was captured and executed by the Spanish. His death created a power vacuum and demoralized the Inca forces, leading to disarray and loss of central leadership. Additionally, the Spanish had superior weaponry, including firearms and cavalry, which further intimidated the Inca soldiers. Internal divisions and the spread of diseases introduced by the Europeans also weakened the Inca's ability to resist.