A Liberal candidate has been accused in Tasmanian Parliament of saying feminists supporting sharia law should have their genitals mutilated and that Muslims should be banned from Australia.

Key points: Jessica Whelan is the Liberal candidate for the Tasmanian seat of Lyons

Jessica Whelan is the Liberal candidate for the Tasmanian seat of Lyons Social media posts she allegedly made were aired in Tasmania's Parliament today, throwing her candidacy into doubt

Social media posts she allegedly made were aired in Tasmania's Parliament today, throwing her candidacy into doubt The posts show an account under her name sharing anti-Muslim comments

Jessica Whelan is vying for the Labor-held Tasmanian electorate of Lyons, which has been considered by the Liberal Party as within reach.

But social media posts Ms Whelan allegedly made, aired in Tasmania's Parliament on Thursday, have rocked her candidacy.

Tasmanian Labor Opposition Leader Rebecca White told the Parliament Ms Whelan responded to a 2017 post about public housing waiting lists.

Ms White told the Parliament Ms Whelan, when replying to another woman, said: "Given that your profile states you went to college at 'never lose hope in Allah' … I hope you're not bloody on our housing waiting list.

"You shouldn't even be in Australia if you believe in Allah."

Scott Morrison was in Ms Whelan's (left) electorate as her alleged Facebook posts were aired in Tasmanian Parliament. ( ABC News: Ian Cutmore )

Tasmanian Labor's deputy leader, Michelle O'Byrne, also claimed Ms Whelan posted a vulgar comment in response to a Facebook video, which purported to show non-Muslim American women praying alongside Muslim women.

The video was titled "Feminists In America Begging For Sharia Law".

A screenshot appears to show a Facebook post about "feminists in America begging for sharia law" with a comment from an account named Jessica Whelan. ( Supplied )

Ms O'Byrne read what she said was Ms Whelan's response to the meme aloud in Question Time today.

"Round them up Donald, cut their clitorises off and sell them to Muslims in Muslim countries and cancel their passports. You'll make a mint," she said the post stated.

The video has been circulated on Facebook by right-wing provocateur Milo Yiannopoulos.

The Yiannopoulos video was posted in March 2017 amid debate about US President Donald Trump's travel ban on people from several Muslim-majority nations.

Ms Whelan, in a statement, denied making the remark about genital mutilation, claiming the post was digitally manipulated.

The Prime Minister said the materials were "all being referred to the Federal Police".

"The imagery we have found that has been presented to us appears to have been doctored," he said.

Mr Morrison appeared alongside his under-fire candidate at an agricultural event in the electorate today.

Reporters put a series of questions to Ms Whelan, but she walked to a waiting car and declined to respond.

Ms Whelan pushed through a media pack and climbed into a car as journalists asked her about her alleged social media posts. ( ABC News: Ian Cutmore )

Tasmanian Liberal Premier Will Hodgman said matters "may be in contention", but he said the comments were "without doubt abhorrent".

"There is no doubt that those words, if used by any person, that they should not be endorsed as a candidate in this upcoming federal election," Mr Hodgman said.

"Any statements of that nature we would stand firmly against."

Tasmanian Federal Labor MP Julie Collins said Mr Morrison "must sack his candidate for Lyons".

"Advocating violence against women in any circumstance is appalling," Ms Collins said.

Comments from account with Whelan's name supported One Nation

The federal election campaign has taken the Prime Minister to Jessica Whelan's turf multiple times. ( ABC News: Marco Catalano )

A screenshot of an apparent Facebook post about Pauline Hanson's One Nation also shows a comment from an account named Jessica Whelan.

"Register in Tasmania so I can be a candidate!" a comment reads under a callout for One Nation members in New South Wales.

A screenshot appears to show a Facebook post about Pauline Hanson's One Nation with a comment from an account named Jessica Whelan. ( Supplied )

Ms Whelan, a local government councillor and real estate agent, was preselected in February for Lyons, held by Labor on a margin of 3.8 per cent.

This latest furore has emerged less than a day after Victorian Liberal candidate Jeremy Hearn was sacked over a conspiracy-laden anti-Muslim rant.

Mr Hearn, who was running for the seat of Isaacs, suggested Islamic Australians were hiding what he said were their true intentions to overthrow the Australian Government and introduce sharia law.

Mr Morrison yesterday supported the decision to disendorse Mr Hearn.

"These individuals … need to be dealt with swiftly and appropriately," Mr Morrison said on Wednesday.

Candidate resigned after comments about gay people

Federal Opposition Leader Bill Shorten on Wednesday accused the Liberal Party of being "riddled with right-wing extremists".

"After Christchurch, what do you need to get people to wake up in the Liberal Party and say it's unacceptable?" he said.

Another Victorian Liberal candidate, Peter Killin in Wills, resigned after comments came to light showing he urged Christians to join the party to prevent gay people from being promoted.

The Tasmanian seat of Lyons, stretching from the state's north to Hobart's outskirts, is viewed as winnable in contrast to the Melbourne electorates.

One of the posts attributed to Ms Whelan appears to have been posted using a Facebook account that has now been deleted.

The ABC searched her current profile and could find no posts from before her preselection.

The ABC has sought a response from Ms Whelan, the Tasmanian Liberal Party and Federal Coalition Campaign Headquarters.