Not willing to take part in skin test at ENT (9)

I believe the answer is:

intestate

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'not willing to take part' is the definition.
I can't tell whether this definition defines the answer.

'in skin test at ent' is the wordplay.
'in' indicates the answer is hidden within the clue.
'INTESTATE' can be found hidden inside 'skin test at ent'.

Can you help me to learn more?

(Other definitions for intestate that I've seen before include "Dying without having made a will" , "Undecided about who should inherit" , "Not having planned to leave" , "Unwilling" , "Dying thus, one has left no will" .)

I've seen this clue in The Telegraph.

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