Crossword Genius

Cherish women about to be thrown out of city (6)

Ross

I believe the answer is:

nestle

I'm a little stuck... Click here to teach me more about this clue!

'out of city' is the definition.
The definition and answer can be both acts as well as being singular nouns.
Maybe there's an association between them I don't understand?

I cannot understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for nestle that I've seen before include "Snuggle into, say, embrace" , "Lie snugly (in a place)" , "Cuddle or snuggle up" , "Lie in a sheltered position" , "lie comfortably" .)

I've seen this clue in The Independent.
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