Came in to said centre to be treated due to lack of adequate nutrition perhaps (10)

I believe the answer is:

emaciation

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'lack of adequate nutrition perhaps' is the definition.
I can't judge whether this definition defines the answer.

'came in to said centre to be treated' is the wordplay.
'centre' indicates the central letters.
'to be treated' is an anagram indicator.
The central letters of 'said' are 'ai'.
'came'+'in'+'to'+'ai'='cameintoai'
'cameintoai' with letters rearranged gives 'EMACIATION'.

'due to' is the link.

Can you help me to learn more?

(Another definition for emaciation that I've seen is " Extreme thinness".)

I've seen this clue in The Irish Times.

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