An Adelaide woman charged with being a member of terror group Islamic State (ISIS) will deny the allegations, her lawyer has said.

The 22-year-old Somalian born woman was arrested and appeared in Adelaide Magistrates Court this afternoon accused of being a member of a known terrorist organisation.

Handcuffed and wearing a hijab, she made no application for bail, with her identity suppressed until another appearance in August.

The woman came to Australia as a 14-year-old and now has citizenship.

Australian Federal Police (AFP) Assistant Commissioner for Counter-Terrorism Ian McCartney said she first came to the attention of authorities in July last year while trying to fly out of Australia.

She was stopped from leaving the country and police had been investigating her since, with the majority of her dealings with ISIS being online, where she connected with terrorism suspects around the world, he said.

Outside court, her lawyer Craig Caldicott said his instructions were that she was not guilty of the charge.

"It's quite simple, she has not committed the offence, she intends to plead not guilty to the charges," Mr Caldicott said.

"I'm saying she's not a member of Islamic State, whatever that means.

"She is not guilty of the charges and intends to defend them."

Mr Caldicott also criticised the AFP for failing to provide details of the brief they had been working on for almost a year.

"At the moment we have not been given anything other than the charge. We have not been given any statements. We have not been given any paperwork," he said.

The woman, from Adelaide's western suburbs, was arrested this morning following an investigation run by the South Australian Joint Counter-Terrorism Team that began in mid-2016.

Police allege she cultivated relationships with Islamic State members online and had pledged her allegiance to the extremists.

Mr McCartney said there was no current threat to SA or Australia more broadly from the incident but noted it was concerning young people remain susceptible to extremist ideologies.

SA Police Deputy Commissioner Linda Williams said investigators have been making constant risk assessments about the woman and would have arrested her sooner if they had believed she posed any threat to the community.

"I emphasise there wasn't and there's still no ongoing risk from this arrest," she said.

"We are comfortable this was the right time to make the arrest."

Dep. Comm. Williams said charges did not relate to the “terror incident” at an Ariana Grande concert in Manchester , which left at least 19 people dead.