What is the branch of theology that deals with sermons and homilies called?

Homiletics is the branch of theology specifically focused on the art and science of preaching and delivering sermons. It encompasses the principles and practices involved in crafting and presenting effective homilies, which are typically short sermons or lessons that convey spiritual teachings. The study of homiletics includes not only the content of the message but also the style, delivery methods, and how to engage an audience effectively.

In contrast, exegesis involves the critical interpretation and explanation of religious texts, particularly the Bible, without focusing on the actual delivery of preaching. Didactics refer to the theory and practice of teaching, which is broader than the specific context of sermons. Epistemology is a philosophical branch that studies the nature and scope of knowledge, including its sources and limitations, and is not directly related to the practice of preaching. Therefore, homiletics is the most accurate term that describes the theology dedicated to sermons and homilies.