Anger, even once, becomes a woman (5)
I believe the answer is:
irene
'a woman' is the definition.
(I've seen this before)
'anger even once' is the wordplay.
'anger' becomes 'ire' (ire is intense rage).
'even' means one should take alternating letters (even-numbered letters are used).
The alternate letters of 'once' are 'ne'.
'ire'+'ne'='IRENE'
'becomes' acts as a link.
(Other definitions for irene that I've seen before include "Representative of peace" , "Peaceful girl" , "Greek goddess of peace (English name)" , "Greek godess of peace" , "- - Handl, actress" .)