orderer vs arranger

orderer and arranger both are nouns.

Word	Noun	Adjective	Verb	Adverb
orderer	Yes	No	No	No
arranger	Yes	No	No	No

As nouns, arranger is a hypernym of orderer; that is, arranger is a word with a broader meaning than orderer:

Other hypernyms of orderer include organiser, organizer.

orderer (noun)	arranger (noun)
an organizer who puts things in order	a person who brings order and organization to an enterprise
someone who places an order to buy	a musician who adapts a composition for particular voices or instruments or for another style of performance