The Special Criminal Court has rejected an application by Lisa Smith to dismiss the charges against her due to a lack of evidence.
The 40-year-old former member of the Defence Forces has pleaded not guilty to financing terrorism and membership of the terrorist organisation ISIS.
Mr Justice Tony Hunt said today the court "can see absolutely no basis as to why it would be unfair" to Ms Smith "to proceed" with the trial.
He said there was sufficient evidence to pass the very low threshold that it would be capable of supporting a conviction by a properly constituted jury.
However, the judge said the case must still be proved beyond reasonable doubt.
The prosecution has now concluded its case and the defence is due to call an academic with expertise on caliphates as a witness.
The trial has been adjourned until next Monday to hear from that witness in person.
