poet vs elegist

poet and elegist both are nouns.

Word	Noun	Adjective	Verb	Adverb
poet	Yes	No	No	No
elegist	Yes	No	No	No

As nouns, elegist is a hyponym of poet; that is, elegist is a word with a more specific, narrower meaning than poet:

poet: a writer of poems (the term is usually reserved for writers of good poetry)
elegist: the author of a mournful poem lamenting the dead

Other hyponyms of poet include bard, odist, poetess, poet laureate, poet laureate, sonneteer.

poet (noun)	elegist (noun)
a writer of poems (the term is usually reserved for writers of good poetry)	the author of a mournful poem lamenting the dead