The Councillor Code of Conduct meeting comes as the City of Greater Bendigo confirmed it has received about 30 complaints from individuals and groups about the tweet sent by Cr Chapman last week.

Bendigo groups and businesses have reported they hold further fears for the city's reputation because of Cr Chapman's behaviour, and some are believed to be refusing to work with her in the future.

Cr Chapman said she was "looking forward to" the meeting and an online petition in support of her has gathered more than 3000 signatures. 

A separate petition calling for her removal has gathered 2000 signatures.

Cr Chapman refused to say whether she would apologise for the tweet, should mayor Peter Cox make that request.

"I'm not going to talk about hypotheticals," she said.

"I know what I wish to achieve, and the mayor knows that."

The tweet of the infants with mutilated genitals was sent after a woman contacted Cr Chapman on Twitter supporting the mosque.

The worst penalty possible to be handed down to Cr Chapman is a two month enforced leave of absence.

Just one councillor would need to apply to establish a Councillor Conduct Panel with the Minister for Local Government.

The panel would assess whether to take on the case and then hold a hearing.

The panel could enforce the two months leave, but other outcomes include making the councillor apologise or reprimanding her.

A spokesperson for the City of Greater Bendigo said mayor Peter Cox will make a statement on Wednesday in relation to the meeting with Cr Chapman.

Haven; Home Safe chief executive officer Ken Marchingo said the council had a duty to ensure the process is transparent and represents the views of the Bendigo community.

"I would expect - as a citizen and ratepayer - that proper process is followed and it is public and transparent," he said.

"It's time for councillors to stand up and be clear about what they think their role is.

"Cr Chapman is not without form and, with me not being an expert in local government, I have no doubt there is a process for councillors to follow."

Mr Marchingo said he, and others, would not engage with Cr Chapman in the future.

He said the tweet was a "hate speech matter, not a free speech matter".

"Any citizen of Bendigo should be free to make reasonable concerns to their elected representatives," Mr Marchingo said.

"To have violent images flung back in their face is immature behaviour and escalates an issue that is already inflammatory."