Nash censured by Senate but retains PM's confidence

But the Liberal senator insists she has explained herself, and Prime Minister Tony Abbott says she has done nothing wrong and that the Opposition should give up its pursuit.

"Not only is there no fire, there is not even any smoke," he told parliament on Wednesday.

Senator Nash's senior staffer Alastair Furnival has resigned over the matter.

His wife's public relations company – with links to the junk food industry – is alleged to have influenced the removal of a government good food website overseen by Senator Nash's office.

Opposition health spokeswoman Catherine King said it was an "infected policy decision" to take down the website.

"She should resign," Ms King said.

Refusing to produce documents which she says proves there was no wrongdoing within her office, Senator Nash said she has acted in good faith throughout her questioning.

"I have explained to the Senate and the Senate estimates