All intrude rudely, being mean (3-7)
I believe the answer is:
'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).
'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" .)