Angered by, being sensitive (4)
I believe the answer is:
sore
This clue is a double definition.
'angered' is the first definition.
(I've seen this in another clue)
'being sensitive' is the second definition.
(as in a sore wound)
'by' is the link.
(Other definitions for sore that I've seen before include "Feeling pain or informally angry" , "very much" , "To be very old" , "Spot of aggravation" , "Painful or tender" .)