I take it you will be making a complaint about her behaviour.

我想你要对她的行为进行投诉吧。

youdao

The patient is making a complaint to the doctor of his bad headache.

病人正在向医生诉说他的头痛。

youdao

Making a complaint is quite a simple procedure.

申诉的手续相当简单。

《牛津词典》

What then is the point of making a complaint to them, and detailing the above?

BBC: Facebook users warned about ads

Does the FBI begin an investigation on the basis of a citizen making a complaint?

FORBES: Four Questions (and Answers) about the General Petraeus Scandal

He was fired for making false statements, after making a complaint against his field training officer, saying she had kicked a suspect during an arrest.

BBC: Charred body found after US manhunt for Christopher Dorner