Badly angered and remaining furious (7)
I believe the answer is:
Here is my best explanation:
'remaining furious' is the definition.
'enraged' can be an answer for 'furious' ('enraged' can be a synonym of 'furious'). I am not sure about the 'remaining' bit.
'badly angered' is the wordplay.
'badly' is an anagram indicator.
'angered' anagrammed gives 'ENRAGED'.
'and' acts as a link.
(Other definitions for enraged that I've seen before include "Angry", "Irate", "Wild", "Wound up", "with all guns blazing", "Infuriated, made mad", "Angered; angered (anag.)", "Greatly angered", "Incensed" and "Very angry".)