poet vs poet laureate

poet and poet laureate both are nouns.

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

As nouns, poet laureate is a hyponym of poet; that is, poet laureate 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)
poet laureate: the poet officially appointed to the royal household in Great Britain

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

poet (noun)	poet laureate (noun)
a writer of poems (the term is usually reserved for writers of good poetry)	the poet officially appointed to the royal household in Great Britain
	a poet who is unofficially regarded as holding an honorary position in a particular group or region