rhymer vs writer

rhymer and writer both are nouns.

Word	Noun	Adjective	Verb	Adverb
rhymer	Yes	No	No	No
writer	Yes	No	No	No

As nouns, writer is a hypernym of rhymer; that is, writer is a word with a broader meaning than rhymer:

rhymer: a writer who composes rhymes; a maker of poor verses (usually used as terms of contempt for minor or inferior poets)
writer: writes (books or stories or articles or the like) professionally (for pay)

Other hypernyms of rhymer include author.

rhymer (noun)	writer (noun)
a writer who composes rhymes; a maker of poor verses (usually used as terms of contempt for minor or inferior poets)	writes (books or stories or articles or the like) professionally (for pay)
	a person who is able to write and has written something