Health Minister Greg Hunt has admitted the Mayor of Katherine is not the only person who has been on the receiving end of his "strong language", revealing another inappropriate interaction with a public servant.

Key points: Fay Miller was in Canberra last December for a series of meetings about PFAS contamination in Katherine

Fay Miller was in Canberra last December for a series of meetings about PFAS contamination in Katherine She says during her meeting with Greg Hunt he became unprofessional and swore

She says during her meeting with Greg Hunt he became unprofessional and swore He has now apologised and made a public statement accepting responsibility

Katherine Mayor Fay Miller accused Mr Hunt of misogyny on Thursday, after he apologised for swearing at her during a meeting in December last year.

Mr Hunt publicly apologised to Ms Miller this morning for using "strong language" during the meeting, admitting it should not have taken him almost six months to say sorry.

Ms Miller described the conversation, where she said he swore and pointed his finger in her face, as the most unprofessional interaction she had ever had with a person at his level.

But later on Thursday during Question Time, Mr Hunt was asked whether he had been involved in any other instances "involving inappropriate behaviour towards stakeholders, public servants or staff".

Sorry, this video has expired Fay Miller described Greg Hunt's behaviour at this December 2017 meeting as 'misogynist'.

Mr Hunt revealed that one case had been raised with him regarding a "strong discussion" he had with a former Health Department secretary.

He claimed it was "a matter of life and death, literally", because the conversation was about the progress of screenings for cervical cancer.

"I think in that situation, while it was a strong discussion, it resulted in the right outcome, the program was able to be continued and I have utmost respect for the public servant involved," Mr Hunt told the Parliament.

Mr Hunt also used Question Time to repeat his public apology to Ms Miller.

'That was misogynist': Katherine Mayor recounts meeting

Recounting the meeting, Ms Miller said she was in Canberra lobbying the Health Minister for better resources to deal with contamination from fire-fighting foam in her region.

She said she had suggested more funding may be needed to get counsellors on the ground in Katherine, rather than over the phone, but Mr Hunt told her she would need to take that up with Northern Territory senator Nigel Scullion.

Ms Miller said at that point, she told the Minister "Senator Scullion comes to Katherine but I don't see him".

"He relocated his chair, pointing towards me and said 'you need to f***ing get over it, you need to f***ing make Senator Scullion your best friend'," Ms Miller said.

"I didn't move. I was absolutely totally gobsmacked."

Fay Miller said she asked Mr Hunt to explain his behaviour. ( ABC News: Dijana Damjanovic )

Ms Miller told ABC radio the next two sentences also contained the F-word.

"And then he sat back a little in his chair and said, 'I've heard you're feisty'," she said.

"And I thought, 'Really?' I hadn't said a word, not a word at this stage, because I was in such a state of shock at what he was saying.

"It was like turning on a switch."

Asked how she found Mr Hunt's attitude during the meeting, Ms Miller replied: "That was misogynist."

After the meeting late last year (pictured), Ms Miller said she wrote to Mr Hunt twice but only got an apology on Wednesday. ( ABC: Marco Catalano )

Ms Miller said she could not simply walk away from the meeting because it was "too rude and disrespectful".

"I wanted this handled in a professional manner and that's how I expected it to be handled, but it's got beyond that," she said.

"I'm sorry, I couldn't walk away from it. It's just too rude, too rude and disrespectful. For anybody."

Hunt takes 'full responsibility' in public apology

Ms Miller said she wrote to Mr Hunt twice asking him to explain his behaviour but only received an apology from him on Wednesday.

"I wrote to him in December and I actually got a letter in February that accused me of poor behaviour," she said.

Ms Miller said she wrote back again on May 14, this time addressing the Prime Minister as well as Mr Hunt, and asking for an explanation and apology.

She said Mr Hunt did not personally apologise until Wednesday.

Sorry, this video has expired Health Minister Greg Hunt apologises for swearing at a NT Mayor

"I used strong language," Mr Hunt said.

"I have apologised to the Mayor of Katherine and today I want to repeat that apology publicly and sincerely and absolutely.

"It was my fault and my responsibility and I accept that."

When asked why he was only offering an apology now, he said he should have apologised earlier.

"My fault and my responsibility and I accept that responsibility and repeat that apology to the Mayor, sincerely and absolutely," he said.

Prime Minister Malcolm Turnbull denied his office ignored Ms Miller's correspondence about the matter.

"Quite the contrary. The minister has apologised, as was appropriate," Mr Turnbull said.

"That was what the Mayor from Katherine sought from him, and that apology was appropriate."