Wise says she has put effort into improving how the council works - especially alongside its staff.
"What I'm very proud of is working on our council culture. We heard loud and clear in the elections that the community wanted to see some changes in our culture, so that's been a huge focus this term."
That was despite the chief executive, who was employed under her watch, leaving along with many of the executive team.
That prompted first-term councillor Nigel Simpson to run against her.
"We're seeing of steady stream of senior staff and middle management leaving the organisation, which really starts to ring alarm bells about how comfortable and confident they feel in decisions that are being made at the council table," Simpson said.
He gave the example of plans for a new pool, which were stuck on the drawing board - costing money and frustrating staff.
"Staff went and had to do a whole lot of work around how will they maintain the out-of-date, falling-apart Onekawa [aquatic] centre when there was a proposal on the table to build a new one."
Wise admitted there had not been much movement on the new pool this term - saying the pandemic and floods had slowed the project.
"It hasn't progressed particularly far [because] it's an incredibly contentious issue for our community and we want to ensure that we actually go out and engage and consult on that as best as we possibly can," she said.
The third mayoral candidate, John Smith, did not reply to a request for comment - but he ran for Napier MP in 2020, claiming Covid was a conspiracy and climate change was not real.
In Wairoa, five people are running for mayor. Craig Little is going for his fourth term.
Benita Cairns, a former councillor, is running against him, saying rates increases have been too high.
"There is a benchmark of affordability and the council are actually going over that benchmark, in a community that's already living on low incomes," she said.
Murray Olsen, who is also running for mayor, believed a lot of changes were needed.
"I think a lot of people in the town and the whole district aren't represented very well by the council. There's a lot that could be done to tidy up infrastructure in the town," Olsen said.
Little disputed the allegations.
"I will challenge anyone that says we haven't put money into infrastructure around town. When I came on board we had manholes popping, infiltration of water into our sewerage system, we couldn't cope in a storm. That has all changed now."
The other two candidates, one of whom was a senior manager at the council and was recently dismissed from his job, did not reply to requests for comment.
In Hastings and Central Hawke's Bay, mayors Sandra Hazlehurst and Alex Walker have been re-elected unopposed.
"I was really looking forward to the opportunity to have that debate publicly but in saying that, also, it's nice to feel that there is enough confidence in me for me to just get on with the job," Walker said.
Hastings' Hazlehurst said it was a "strange place to be".
"But what I'm doing is getting on with the job and we've got a big plan to deliver for our community and to be able to not be interrupted with an election and just carry on with my work has been pretty amazing."
>- RNZ
