A suppression order on the identity of a South Australian student charged with being a member of Islamic State has now been revoked by the Supreme Court.

The ABC can now reveal 23-year-old Zainab Abdirahman-Khalif is charged with knowingly being a member of a terrorist organisation.

The woman was arrested by Australian Federal Police in May last year after allegedly trying to fly to Turkey on a one-way ticket.

The woman was arrested after allegedly trying to leave the country. ( Supplied: Australian Federal Police )

She allegedly pledged her allegiance to Islamic State after communicating with extremists online who were involved in terrorist attacks in Kenya.

The prosecution alleges the woman had been repeating oaths and singing songs connected to Islamic State in her bedroom.

Her lawyer Craig Caldicott previously tried to have the charge dismissed, but the court found there was a case to answer.

Ms Abdiraham-Khalif pleaded not guilty to the charge in November.

Justice Anne Bampton last week revoked a suppression order which had prevented publication of Ms Abdiraham-Khalif's name and image.

The woman is due to stand trial in the Supreme Court in August.

At the time Ms Abdiraham-Khalif pleaded not guilty, her lawyer told reporters outside court that the law was against his client.

"She's not guilty because to sing a song in your bedroom last time I checked wasn't an offence," Mr Caldicott said.