Kosru Uddin, 45, was alleged to have made threats to kill to Rania Khan, a supporter of Independent mayor Lutfur Rahman.
It was reported that screams were heard coming from the town hall as a “violent fracas” erupted on Wednesday night.
One source told a newspaper: “There was violence. It was just chaos.”
It is the latest crisis to hit Tower Hamlets, which is facing a police investigation into claims of electoral fraud at a council bye-election while there have been claims that Mr Rahman is linked to groups supporting extremism.
Trouble erupted at 11.35pm as people left the chamber at the end of the meeting.