Epithet adjectives are listed in this post. Each word below can often be found in front of the noun epithet in the same sentence. This reference page can help answer the question what are some adjectives commonly used for describing EPITHET.
abusive, additional, appropriate, characteristic, common, contemptuous, derogatory, descriptive
distinctive, distinguishing, endearing, familiar, favorite, favourite, first, former
frequent, general, happy, harsh, homeric, insulting, last, latter
mere, new, odious, offensive, old, only, opprobrious, other
popular, proper, racial, reproachful, same, second, single, singular
specific, such, usual, very, vile, vituperative
Hope this word list had the adjective used with epithet you were looking for. Additional describing words / adjectives that describe / adjectives of various nouns can be found in the other pages on this website.