to complain loudly in order to show that you are very annoyed about something.
Our food was cold so my father kicked up a fuss and refused to pay the service charge.
kick up a stink
To be very vocal in one's displeasure about something; to make a scene. My mom kicked up a stink when the store refused to accept her return without a receipt.
kick up/make/create/raise a ˈstink (about something)
(informal) show that you are angry about a situation, often by protesting in public: He kicked up a stink about the noise from the new nightclub, writing to all the papers and complaining to the council.