battledore vs racquet

battledore and racquet both are nouns.

Word	Noun	Adjective	Verb	Adverb
battledore	Yes	No	No	No
racquet	Yes	No	No	No

As nouns, racquet is a hypernym of battledore; that is, racquet is a word with a broader meaning than battledore:

battledore: a light long-handled racket used by badminton players
racquet: a sports implement (usually consisting of a handle and an oval frame with a tightly interlaced network of strings) used to strike a ball (or shuttlecock) in various games

Other hypernyms of battledore include racket.

battledore (noun)	racquet (noun)
an ancient racket game	a sports implement (usually consisting of a handle and an oval frame with a tightly interlaced network of strings) used to strike a ball (or shuttlecock) in various games
a light long-handled racket used by badminton players