Crossword Genius

All intrude rudely, being mean (3-7)

Ross

I believe the answer is:

ill-natured

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'mean' is the definition.
Both the definition and answer are adjectives. Maybe they are linked in a way I don't understand?

'all intrude rudely' is the wordplay.
'rudely' is an anagram indicator (rude can mean rough or unrefined).
'all'+'intrude'='allintrude'
'allintrude' anagrammed gives 'ILL-NATURED'.

'being' acts as a link.

Can you help me to learn more?

(Other definitions for ill-natured that I've seen before include "Bad-tempered, churlish" , "Mean-spirited" .)

I've seen this clue in The Independent.
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