Not picky when it's not urgent? (10)

I believe the answer is:

uncritical

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'not picky when' is the definition.
I can't judge whether this defines the answer.

'not urgent?' is the wordplay.
'not' becomes 'un' (prefix meaning 'not').
'urgent?' becomes 'critical' (I've seen this before).
'un'+'critical'='UNCRITICAL'

'it's' is the link.

Can you help me to learn more?

(Another definition for uncritical that I've seen is " Dangle and Sneer were not".)

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

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