Crossword Genius

Pursuit for which to be in the pink? (4)

Ross

I believe the answer is:

hunt

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

'pursuit' is the definition.
(synonyms)

'to be in the pink?' is the wordplay.
I cannot really understand how this works, but
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is found in the answer.
The remaining letters 'hun' is a valid word which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).

'for which' is the link.

Can you help me to learn more?

(Other definitions for hunt that I've seen before include "ARTIST" , "Search for (prey)" , "Search; pursue and kill" , "Pursue quarry" , "Quest" .)

I've seen this clue in the Evening Standard.
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