Fervently (4,3)
'fervently' is the definition.
(thesaurus)
This is all the clue.
(Other definitions for vehemently that I've seen before include "with strong feeling" , "with force" , "Passionately, forcefully" , "Intensely, forcefully" .)
(Other definitions for like mad that I've seen before include "Furiously" , "With furious enthusiasm" , "wildly" , "With great intensity, energy, or enthusiasm" , "Very quickly" .)