battledore

1. 1. An early form of badminton played with a flat wooden paddle and a shuttlecock.
   2. The paddle used in this game.
2. A badminton racket.

[Middle English batildore, perhaps blend of betel, bat. See beetle³ and Old Provençal batedor, bat (from battre, to beat, from Late Latin battere; see batter¹).]

The noun has 2 meanings:

Meaning #1: a light long-handled racket used by badminton players
  Synonyms: badminton racket, badminton racquet

Meaning #2: an ancient racket game
  Synonym: battledore and shuttlecock