An interim control order has been imposed on an Adelaide woman acquitted of being a member of the Islamic State terrorist group.

Key points: Zainab Abdirahman-Khalif was convicted of being a member of Islamic State and spent more than two years in jail

Zainab Abdirahman-Khalif was convicted of being a member of Islamic State and spent more than two years in jail Her conviction was overturned last month

Her conviction was overturned last month An interim order restricting her movements and enforcing a curfew is now in place

A Federal Court judge imposed 20 of the 21 conditions sought by the Federal Government to control aspects of Zainab Abdirahman-Khalif's life.

Justice Natalie Charlesworth said it was more probable than not that Ms Abdirahman-Khalif would continue to support IS and engage with others who were involved with the group.

The order includes a curfew, restrictions on her movement, employment and a prohibition on her contacting anyone in prison, Turkey, Iraq or Syria.

Ms Abdirahman-Khalif was convicted of being a member of a terrorist organisation and spent more than two years in jail.

Her conviction was overturned in the Court of Criminal Appeal last month.

Under the terms of the order, Ms Abdirahman-Khalif must abide by a 10:00pm to 6:00am curfew and must report to a police station once a week.

She is prohibited from being at Adelaide Airport and from being within one kilometre of any Australian airport with international departures.

The order also limits her online access, prohibiting her from using 35 apps including WhatsApp, Facebook Messenger, Instagram and Skype.

She's barred from watching any material that contains executions, suicide attacks, bombings, terrorist attacks or terrorist propaganda that is not broadcast on Australian television, or shown in a commercial movie cinema.

She is also banned from renting or driving a heavy vehicle and possessing firearms or ammunition.

Justice Charlesworth said Ms Abdirahman-Khalif had poor psychological resistance and was "naive to the extreme" with no insight into her own susceptibility to radicalisation.

She said the 20 orders would sufficiently address the risks she had identified.

Zainab Abdirahman-Khalif has been banned from going to the Adelaide Airport. ( 891 ABC Adelaide: Brett Williamson )

Court heard of contact with sons of fugitive

During a hearing this week, the court heard she had been writing and receiving letters from the sons of notorious Adelaide fugitive Rodney Clavell while she was in prison in Adelaide.

In June, Joshua and Joel Clavell were shot by officers near the Victorian border while they were under the surveillance of anti-terrorism police.

The court heard in August 2019, Nathan Clavell wrote to Ms Abdirahman-Khalif offering her an opportunity to marry Daniel Clavell.

The interim order bans Ms Abdirahman-Khalif from contacting several members of the Clavell family.

During last week's hearing, Marie Shaw QC, for Ms Abdirahman-Khalif, said the letters from the Clavell family were unsolicited and her client stopped communicating with them when she was told of the family's criminal background.

Ms Shaw argued that there was no evidence to support a control order and that her client had sought out de-radicalisation information and programs since being released from prison.

The Court of Criminal Appeal overturned Ms Abdirahman-Khalif's conviction last month after finding that while she had pledged allegiance to IS, there was not sufficient evidence produced at the trial that she was a member of the terrorist group.