Dan kills F.D.Alan's doctor in SE Atlantic group (8,7)

I believe the answer is:

falkland islands

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'se atlantic group' is the definition.
I can't judge whether this defines the answer.

'dan kills f d alan's doctor' is the wordplay.
'doctor' is an anagram indicator.
'dan'+'kills'+'f'+'d'+'alans'='dankillsfdalans'
'dankillsfdalans' with letters rearranged gives 'FALKLAND ISLANDS'.

'in' acts as a link.

Can you help me to learn more?

(Another definition for falkland islands that I've seen is " British possession in the South Atlantic".)

I've seen this clue in the Sydney Morning Herald.

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