Temperament shown by angry EU rant? (6)
I believe the answer is:
nature
'temperament' is the definition.
(thesaurus)
'angry eu rant?' is the wordplay.
'angry' indicates anagramming the letters.
'eu'+'rant'='eurant'
'eurant' with letters rearranged gives 'NATURE'.
'shown by' acts as a link.
(Other definitions for nature that I've seen before include "mother, so-called" , "Mother Earth" , "The world with allits features and living things" , "Basic character" , "Disposition, temperament" .)