Do sup with nude drunk? That's shameful! (9)

I believe the answer is:

pudendous

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'shameful' is the definition.
Both the answer and definition are adjectives.
Perhaps there's an association between them I don't understand?

'do sup with nude drunk?' is the wordplay.
'with' says to put letters next to each other.
'drunk?' indicates anagramming the letters (I've seen 'drunk' mean this).
'do'+'sup'='dosup'
'dosup' put after 'nude' is 'nudedosup'.
'nudedosup' anagrammed gives 'PUDENDOUS'.

'that's' is the link.

Can you help me to learn more?

I've seen this clue in The Independent.

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