I am pretty sure that the use of “Delian healer” to refer to Apollo is called an epithet. I choose this figure because Delian was named so as the location of Apollo's birth is called Delos. Epithet definition says that it is known as <span>descriptive title. Hope you will agree with me. Regards.</span>
An epithet is a byname, or a descriptive word or phrase, that accompanies or replaces a name after having entered common usage. It usually has different meanings when used to seemingly real or fictitious people, divinities, objects, and binomial nomenclature. At the same time, it´s possible that an epithet is used as a descriptive title, such as Pallas Athena and Alfred the Great.
The “Delian healer” refers to the role of Apollo as a healer in connection with Paean.
