Resigns, maybe, after an outburst of displeasure (9)
I believe the answer is:
angriness
'outburst of displeasure' is the definition.
Although both the answer and definition are singular nouns, I can't see how one could define the other.
'resigns maybe after an' is the wordplay.
'maybe' indicates an anagram.
'after' is a charade indicator (letters next to each other).
'resigns' with letters rearranged gives 'griness'.
'griness' put after 'an' is 'ANGRINESS'.
Can you help me to learn more?
(Another definition for angriness that I've seen is " wrath".)