Being timid, coolly robbed of some dollars (3)

I believe the answer is:

coy

'being timid' is the definition.
('coy' can be similar in meaning to 'timid')

I don't understand the rest of the clue.

(Other definitions for coy that I've seen before include "Pretending shyness" , "Pretending modesty" , "reluctant to divulge information" , "Pretending to be shy or embarrassed" , "not forthcoming" .)

I've seen this clue in the Evening Standard.

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