Anger the northeastern girl (5)
I believe the answer is:
irene
'girl' is the definition.
(I've seen this before)
'anger the northeastern' is the wordplay.
'anger' becomes 'ire' (ire is intense rage).
'the northeastern' becomes 'ne' (abbreviation for northeastern).
'ire'+'ne'='IRENE'
(Other definitions for irene that I've seen before include "woman" , "One can find a girl in Ree" , "Female name" , "Goddess of peace - Byzantine ruler" , "Greek godess of peace" .)