The One Nation leader accused the media of treating her populist political party with double standards in an at-times fiery address during which she labelled one journalist "trashy" and told another she'd be out of a job if her party won government.
"Australians' trust in media, the government and public institutions is at an all-time low," Senator Hanson told the National Press Club on Wednesday.
"To you, the media, may I offer some advice. You have to earn the trust of the Australian people. I am confident I can. Can the media say the same thing?"
Asked about her daughter's work campaigning in Tasmania by a Guardian reporter, Senator Hanson exploded.
"You never give up. I've never seen a person that's such a trashy journalist," she told reporter Sarah Martin.
"You've got this obsession with constantly trying to pull down myself, my party or (Gina) Rinehart... I'm telling you now, don't come near me for an interview in future."
Ms Martin has reported on Senator Hanson's financial ties to Ms Rinehart, who is Australia's richest woman.
In a statement, the Guardian stood by the "rigour of its work" and said reporters would not be deterred from doing their jobs.
Senator Hanson pledged to slash the ABC's taxpayer funding, with the government only supporting operations in regional and remote areas lacking commercial media.
In the cities, which are "already saturated with media outlets", the ABC would be subscription-only.
SBS, which has a mandate to provide multilingual and multicultural content, would be scrapped.
Pressed by an SBS reporter on whether the broadcaster had a role helping migrants learn English so they can integrate into society, Senator Hanson said she wanted people to already know English before arriving in Australia.
"I understand your question. You're going to be without a job," she said.
SBS would not comment because of obligations as an impartial public broadcaster, a network spokeswoman said, while an ABC spokeswoman said it provided services on an equal basis to all Australians, for free.
"This principle of universal equity of access is increasingly important in a world where the majority of content is only available behind a pay wall," the spokeswoman said.
Senator Hanson and her team have clashed with media previously.
At an event in Adelaide in May a staffer told journalists to "shut up" before the One Nation leader was caught on camera describing one reporter as a "nasty bitch".
She also accused a Channel Nine reporter in June of asking "stupid questions" after being pressed on why she didn't fly to Perth in "Gina's jet".
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