She was screaming, swinging and thrusting a knife at the police officers in a threatening manner.

Literal

She [topic-は] screaming, police-officers [toward-に] toward knife [object-を] brandishing threatening [like-ような] gestures did.

わめき ('screaming, shrieking') is rougher than 叫ぶ — implies uncontrolled, desperate noise. 振り回して uses the て-form to chain actions. 脅すようなしぐさ ('threatening-like gestures') uses ~ような for comparison and しぐさ ('gesture, mannerism') for the physical behavior. The polite ました form with violent content mirrors formal news reporting style.