Unsuitability of snap I sent out (9)

I believe the answer is:

inaptness

'unsuitability' is the definition.
(I know that inaptness is a type of inappropriateness)

'snap i sent out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'snap'+'i'+'sent'='snapisent'
'snapisent' with letters rearranged gives 'INAPTNESS'.

'of' acts as a link.

(Another definition for inaptness that I've seen is " Unsuitability".)

I've seen this clue in The Times.

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