Daughter in triad operating somewhere in the Caribbean (8)

I believe the answer is:

trinidad

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'somewhere in the caribbean' is the definition.
I can't tell whether this definition defines the answer.

'daughter in triad operating' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'operating' indicates an anagram.
'd'+'in'+'triad'='dintriad'
'dintriad' is an anagram of 'TRINIDAD'.

Can you help me to learn more?

(Other definitions for trinidad that I've seen before include "English-speaking island off Venezuela" , "W. I. island" , "Caribbean island" , "Island linked to Tobago" , "West Indian island paired with Tobago" .)

I've seen this clue in The Times.

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