Bovine animal with the queen makes us cringe (5)

I believe the answer is:

cower

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'cringe' is the definition.
(I know that cower is a action)

'bovine animal with the queen' is the wordplay.
'bovine animal' becomes 'cow' (cow is a kind of animal. I am not sure about the 'bovine' bit.).
'with' says to put letters next to each other.
'the queen' becomes 'ER' (Elizabeth Regina).
'cow'+'er'='COWER'

'makes us' is the link.

Can you help me to learn more?

(Other definitions for cower that I've seen before include "Quail" , "Crouch in fear" , "to emulate Burns's wee beastie" , "Cringe in fear" , "Bend in fear" .)

I've seen this clue in The Daily Express.

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