Offensive demand (6)
I believe the answer is:
charge
I believe this clue is a double definition.
'offensive' is the first definition.
(thesaurus)
'demand' is the second definition.
(thesaurus)
(Other definitions for charge that I've seen before include "Load - price" , "one in custody" , "Entrust (with a task)" , "Demand in payment" , "Formally accuse (someone)" .)