Up in arms (6)
(Other definitions for fuming that I've seen before include "Feeling great anger" , "Showing anger, really hot" , "Very angry" , "Livid" , "Smoking with rage" .)
(Other definitions for mad that I've seen before include "Berserk" , "Insane - furious" , "Idiotic" , "Demented or excited or angry" , "Roused to anger" .)