Lisa Smith’s period of detention has been extended for a further 24 hours.
Gardaí said the 38-year-old remains in custody at a south Dublin Garda station.
The former Irish Defence Forces member was arrested on suspicion of terror offences after her arrival at Dublin Airport on Sunday.
She was taken to Kevin Street Garda Station for questioning over her alleged connection to the so-called Islamic State group.
The Dundalk native has previously said she converted to Islam a number of years ago and married an ISIL fighter.
An armed escort brought her to a special sitting of Dublin District Court this morning, where an application to have her period of detention extended for a final 24 hours was granted.
Since her arrest, detectives from the Special Detective Unit have been questioning her about her movements and activities abroad.
Yesterday, her solicitor Darragh Mackin said she was determined to provide an explanation for her actions.
He said her two-year-old daughter, who is being cared for by relatives, is doing well.
“Rakeya is now safely at home with Lisa's extended family, and is doing very well,” he said.
“And as one can imagine, given the backdrop of where Rakeya has come from, it is a much more friendlier environment and therefore is to be welcomed that the innocent child is back in the safe care of her extended family.”
Gardaí said she is being held under the Offences against the State Act.
The law allows for a total period of detention of 72 hours.
This latest extension means she can be detained at Kevin Street Garda Station until tomorrow morning – when she will either be charged or released without charge.
With reporting from Frank Greaney