quarrel vs fuss

quarrel and fuss both are nouns.

Word	Noun	Adjective	Verb	Adverb
quarrel	Yes	No	Yes	No
fuss	Yes	No	Yes	No

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

Other hyponyms of quarrel include affray, altercation, fracas, bicker, bickering, pettifoggery, spat, squabble, tiff, bust-up.

quarrel (noun)	fuss (noun)
an arrow that is shot from a crossbow; has a head with four edges	a rapid active commotion
an angry dispute	a quarrel about petty points
	an angry disturbance
	an excited state of agitation

quarrel (verb)	fuss (verb)
have a disagreement over something	worry unnecessarily or excessively
	care for like a mother