poet vs author

poet and author both are nouns.

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

As nouns, author is a hypernym of poet; that is, author is a word with a broader meaning than poet:

poet: a writer of poems (the term is usually reserved for writers of good poetry)
author: writes (books or stories or articles or the like) professionally (for pay)

Other hypernyms of poet include writer.

poet (noun)	author (noun)
a writer of poems (the term is usually reserved for writers of good poetry)	writes (books or stories or articles or the like) professionally (for pay)
	someone who originates or causes or initiates something

poet (verb)	author (verb)
	be the author of