Bad-tempered is right? Wrong! (7)

I believe the answer is:

tigrish

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'bad-tempered' is the definition.
Both the answer and definition are adjectives.
Perhaps they are linked in a way I don't understand?

'is right? wrong' is the wordplay.
'wrong' is an anagram indicator.
'is'+'right'='isright'
'isright' with letters rearranged gives 'TIGRISH'.

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

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