Upset and feverish, taking a month off (4)
I believe the answer is:
rile
'upset' is the definition.
(to rile is to annoy or upset)
I don't understand how the remainder of the clue works.
(Other definitions for rile that I've seen before include "Make angry" , "Bother" , "Informally, annoy or irritate" , "Lire (anag)" , "Stir up anger" .)