kerchief vs headscarf

kerchief and headscarf both are nouns.

Word	Noun	Adjective	Verb	Adverb
kerchief	Yes	No	No	No
headscarf	Yes	No	No	No

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

kerchief: a square scarf that is folded into a triangle and worn over the head or about the neck
headscarf: a kerchief worn over the head and tied under the chin

Other hyponyms of kerchief include neckerchief.

kerchief (noun)	headscarf (noun)
a square scarf that is folded into a triangle and worn over the head or about the neck	a kerchief worn over the head and tied under the chin