Take out a girl - a bit of a shrew? (4)

I believe the answer is:

kate

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'a shrew?' is the definition.
(Katherina or Kate in The Taming of the Shrew)

'take out a girl a bit' is the wordplay.
'take' anagrams to 'KATE'.
However, I'm not sure how this is indicated.

'of' is the link.

Can you help me to learn more?

(Other definitions for kate that I've seen before include "'Kiss me, ---' (Shrew)" , "Cole Porter musical 'Kiss Me ....'" , "'Kiss me ___' (show)" , "Katherine (dim.)" .)

I've seen this clue in The Globe and Mail.

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