Four months after standing down as mayor to contest the seat of Benambra as an independent in November's Victorian election, Cr O'Connor said she is still suffering fallout due to Cr Trenery's view.

"It's very difficult when you're having to work with someone who has falsely accused you of something quite significant," she said.

Cr Trenery called for Cr O'Connor not to continue as mayor while a candidate, saying ratepayers "believe she is partly financing her campaign for the state election through her role as mayor".

Cr O'Connor said she had effectively been accused of "being dishonest".

She said there had been a discussion with councillors about her candidacy.

"There was no concerns raised with me and then Trenery went to the media," Cr O'Connor said.

"It was an act of bad faith - he accused me of cheating, I wasn't cheating."

Cr Trenery said that was not his take on the meeting.

"She didn't speak directly to me and if she had I would have expressed to her the view she should stand down or stand aside," Cr Trenery said.

Cr O'Connor is still considering legal action or seeking a public apology or statement from Cr Trenery.

"I'm not ruling anything out, I'm waiting to see how it plays out," she said.

Asked about the threat of legal action or whether he would apologise, Cr Trenery was pragmatic.

"If Jenny O'Connor still has a problem in regards to that, instead of going to the media she's got my number and can give me a call," he said.

"I'm quite happy to sit down with her one-on-one to discuss it."

Cr O'Connor's comments follow Albury mayor Kevin Mack moving to contest the federal election as an independent and remaining in the top job until writs are issued.

Cr Trenery declined to say whether he believed Cr Mack should have quit as mayor immediately, saying it was a matter for Albury Council.