What misogynists do, given time and promotion? (10)

I believe the answer is:

preferment

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'promotion?' is the definition.
(I know that preferment is a type of promotion)

I don't understand how the remainder of the clue works.

(Other definitions for preferment that I've seen before include "step ahead?" , "Promotion to higher office" .)

I've seen this clue in The Times.

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