Islam critic Ayaan Hirsi Ali has hit back at Australian Muslim women for accusing her of being a white supremacist and a misogynist, describing them as apologists for terrorist groups.

Six Muslim women, including four wearing hijabs, feature in a video describing the Somali-born writer and former refugee as someone who marginalises followers of Islam.

The three-minute clip, posted on Facebook by a group called Persons of Interest, describes Ms Ali as a racist and sexist person.

They overlook how she is a black woman who campaigns against female genital mutilation.

'This is the language of patriarchy and misogyny. This is the language of white supremacy. This is the language used to justify war and genocide,' the women say.

Ayaan Hirsi Ali has accused the women in the video of being apologists for terror groups

They posted the video on Monday, after Ms Ali's AHA Foundation and event organisers Think Inc announced she had abruptly cancelled her Australian tour for security reasons.

Speaking from the United States, Ms Ali accused the woman of 'carrying water' for Islamist extremist groups campaigning for a global caliphate based on sharia law.

The 47-year-old former Dutch politician linked them to the Egyptian-based Muslim Brotherhood, which is outlawed in its home nation, Islamic State and Boko Haram, which captured 276 schoolgirls in 2014.

'I just want to point my finger at all the places in the world today where Islamic law is applied and how women are treated and I want to say to these women, "shame on you",' Ms Hirsi Ali told Australian Associated Press on Tuesday.

'Shame on you for carrying water for the Islamists, shame on you for trying to shut people up who are trying to raise awareness about sharia law.'

Moroccan Soup Bar owner Hana Assafiri (pictured) features in the video and authored a petition calling for Ayaan Hirsi Ali's Australian tour to be cancelled

The change.org petition against Ayaan Hirsi Ali amassed less than 400 signatures

Moroccan Soup Bar owner Hana Assafiri, who featured in the video, is the same person who was a spokeswoman for a change.org petition calling for Ms Ali's Australian tour to be cancelled.

That petition was authored by Islamic Museum of Australia board director Sherene Hassan.

Daily Mail Australia contacted Ms Assafiri for comment on Tuesday.

However, on Monday she declined to criticise sharia law, which secular Muslims reject.

'Sharia law is a whole massive conversation we need time to discuss and debate with,' she said.

'It's not something I can give you a quick sound bite.'

This ex-Muslims denounced the video condemning Ayaan Hirsi Ali, who cancelled her tour

Zerin Firoze, a former Muslim turned atheist who lives in New York, denounced the video.

'This is the dumbest video I have seen recently,' she said on Facebook.

'Ex-Muslims like Ayaan Hirsi Ali are not demonising Muslim women or Islam.

'Islam itself demonises Muslims, especially Muslim women.'

Ms Ali, a former Muslim turned atheist who spent part of her childhood in Saudi Arabia, has called for a reformation of Islam so the Koran isn't taken literally and individual rights are respected.

She has made the case in several books, including Infidel and Heretic, and is accused by her critics of profiting from criticising Islam.

One woman in the video accused Ayaan Hirsi Ali, a black woman, of white supremacy