The daughter of the Australian man who flew to Wellington while waiting on the results of a coronavirus test which turned out positive has spoken out, saying she's worried about her father's mental health.

Townsville man Andre Reynaud was confirmed as New Zealand's seventh coronavirus case, the first to be based outside of Auckland.

The man, in his 60s, was tested for coronavirus on Thursday in Australia.

On Friday he flew from Brisbane to Wellington on Air NZ flight 828 before heading to his hotel room.

On Saturday morning Reynaud visited Milk Crate Cafe on Ghuznee St to meet his son when he received the news he had tested positive for Covid-19.

Now in self-isolation in a Wellington hotel, Reynaud's daughter said her family is finding the backlash difficult and maintains her father did "everything right".

"As you can imagine, this has been a really hard time for our family - especially my father. I am worried for his mental health," she told Newshub.

"I think a very interesting comment should be made about the repercussions of this naming and shaming - it was inevitable it was going to spread, and unfortunately we have been caught up in the early reported cases."

She said he was just looking forward to visiting his son.

Speaking to the Herald, Reynaud, who flew from France to Australia on Tuesday, revealed he had no symptoms at the time of testing and strongly believes he did everything right.

• Coronavirus: Traveller in Wellington claims positive test result

"I went to meet my son for breakfast at a nearby cafe when I got a call from my doctor confirming I tested positive.

"From there I went straight back to my hotel room and got in contact with health authorities.

"I wouldn't have come [to New Zealand] if I knew I was positive.

"I'm currently monitoring my temperature and it's not going up. I don't feel any other symptoms.

"I feel fine, but I'll be patient until I am freed. My temperature is stable. I feel well."

Reynaud was symptom-free and remained self-isolated in a hotel room, Director-General of Health Dr Ashley Bloomfield said today.

Following Reynaud's visit to Milk Crate Cafe, the cafe released a statement on Facebook informing customers they were temporarily closed.

"We at Milk Crate are taking the COVID-19 situation extremely," they wrote.

"Health officials have assured us that the risk of the virus spreading on this occasion is very low, and we've been given the all-clear to continue trading from the Wellington Regional DHB, but we feel we have a duty of care to our staff and our community and have elected to shut and take extra precautions.

"If you were in the café on Saturday between the hours of 11am and 11.30am and believe you may have had close and prolonged contact with the man, we strongly encourage you to phone Healthline on 0800 358 5453.

"We are doing all we can to manage this complex situation proactively and ask that you be patient. Your support has kept this café going for 15 years, and we thank you for your custom and understanding.

"We will reopen only when we are absolutely certain it is safe to do so and look forward to seeing you then."