Homiletically refers to the art of preaching or delivering sermons. There are several synonyms for this term that can be used to convey a similar meaning. For instance, one could use the word "sermonically" to refer to the same concept. Additionally, the term "preachily" can be used to describe a manner of speaking that is similar to that of a sermon. Other synonyms for "homiletically" may include "exhortatively," "oratorically," and "rhetorically." All of these terms refer to an approach to speaking that is often associated with religious leaders or orators who aim to inspire and motivate their audiences. Ultimately, the choice of synonym will depend on the context in which it is used and the intended audience.