Answer:

fanner

AnswerCrossword Clue
FANNEREunuch serving Cleopatra, e.g.
FANNERCirculation manager?
FANNERStriker-out.
FANNERServant in the tropics
FANNEROne who completely misses the ball
FANNER"Cleopatra" extra
FANNERStrike-throwing pitcher
FANNERLady Windemere for one?
FANNERBreeze maker