Bedraggled Stoic came in to see beauty consultant in New York (11)

I believe the answer is:

cosmetician

'beauty consultant in new york' is the definition.
(US term for a beautician)

'bedraggled stoic came in' is the wordplay.
'bedraggled' indicates an anagram.
'stoic'+'came'+'in'='stoiccamein'
'stoiccamein' anagrammed gives 'COSMETICIAN'.

'to see' is the link.

I've seen this clue in The Independent.

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