ie, being ill adapted? (10)

I believe the answer is:

ineligible

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'ie being ill adapted?' is the definition.
I can't judge whether this defines the answer.

'ie being ill adapted?' is the wordplay.
'adapted?' is an anagram indicator.
'ie'+'being'+'ill'='iebeingill'
'iebeingill' anagrammed gives 'INELIGIBLE'.

Can you help me to learn more?

(Other definitions for ineligible that I've seen before include "Not qualified, unsuitable" , "Not qualified - lie in bilge (anag)" .)

I've seen this clue in The Times.

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