IPA: /həˈmɒlɪtɪks/
KK: /həˈmɪlɪtɪks/
The practice or art of delivering sermons or religious speeches.
The pastor studied homiletics to improve his preaching skills.
Homiletics is formed from "homo" (from Greek "homiletikos", meaning to converse or speak) and "letica" (from Greek "letikos", meaning pertaining to or related to). The word refers to the art of preaching or delivering sermons, emphasizing the conversational aspect of communication in a religious context.
Think of 'speaking' ('homo') in a way that is 'related to preaching' ('letica') — that's what homiletics is all about.
No commonly confused words.