coy vs demure

coy and demure both are adjectives.

Word	Noun	Adjective	Verb	Adverb
coy	No	Yes	No	No
demure	No	Yes	No	No

As adjectives, coy and demure are synonyms defined as:

coy and demure: affectedly modest or shy especially in a playful or provocative way

Other synonyms of coy include overmodest.

coy (adjective)	demure (adjective)
showing marked and often playful or irritating evasiveness or reluctance to make a definite or committing statement	affectedly modest or shy especially in a playful or provocative way
affectedly modest or shy especially in a playful or provocative way
modestly or warily rejecting approaches or overtures