Mathew Dickerson was elected unopposed as mayor on Thursday afternoon, while Wellington's Richard Ivey will be the new deputy.

The vote was held after the 10 new councillors were sworn in.

The new councillors are: Mathew Dickerson, Vicki Etheridge, Lewis Burns, Damien Mahon, Pamella Wells, Matthew Wright, Shibli Chowdhury, Josh Black, Richard Ivey and Jess Gough.

Cr Dickerson said he was looking forward to getting the trust back in the community.

"We cannot, as councillors and council staff, achieve anything if the community doesn't trust us. I'm not going to talk about the past, I just have a feeling that at the moment the community doesn't have the same level of trust in council," he said.

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"What we've got to do is show our actions, and our actions will be what people remember.

"We've got new fantastic councillors and 'please trust us' and 'everything's fantastic'. The first time we don't reflect that will be when the council has lost trust in the community again. We've got a new beginning, we've got a fresh start."

While he admitted he was still feeling daunted after being elected as deputy, Cr Ivey said he hoped he would be able to make a difference.

"[The candidates] looked at the previous council and the dysfunctionality and said 'hang on we don't want that'. That came through with all the candidates.

"We had seven candidates and we were all diverse in our philosophies and our outlook but the one thing we were united in, and everyone was the same, is that we really wanted to make this council work and it needs to be for the betterment of not just Wellington, but of the whole region.

"That came through and all of the candidates really reflected that."

The new mayor and deputy have known each other for decades, when Cr Dickerson sold computers to Cr Ivey for his business.

Cr Ivey said they were also both keen bike riders.

As well as earning the trust of the community back, one of the biggest challenges will be balancing the books.

"It's about those honest conversations with the community, as well. So if we don't have the money to build something we need to say 'we don't have the money to build that'," Cr Dickerson said.

"It's the harsh reality and it's not nice."

The mayoral election was held on Thursday afternoon, after the NSW Electoral Commission denied two requests for a recount to be undertaken in the Wellington ward.

Former Wellington mayor Anne Jones missed out on being one of the Wellington councillors by 31 votes.

However, recounts only occur if the electoral commissioner believes it is warranted, and in this case it was not deemed as necessary.

Council's chief executive officer Murray Wood said the next steps would involved plenty of training.

"The governance team has been working tirelessly to make the transition for the newly-elected body as seamless as possible, and we have a comprehensive induction program planned for the new and returning councillors to be held throughout January and February," he said.

"That program will involve in-house and externally facilitated sessions, so the new councillors and the community can have confidence moving into this next term of council."

Of the current batch of councillors, only two have previous experience, Cr Dickerson - who has been away from council for five years - and Cr Etheridge.