Judgement has been reserved in an application by German prosecuting authorities to have Roisin McAliskey extradited for a 1996 bombing.
Roisin McAliskey is wanted for questioning in Germany
They want her to face trial for the attempted murder of soldiers at a British army barracks in Osnabruck in northern Germany.
She was arrested at her home in Coalisland last May and is on bail.
A previous extradition order for the 35-year-old was set aside seven years ago on medical grounds.
'Rented a flat'
Her lawyers have argued that to extradite her would be an abuse of process as the previous application failed.
They said it would be unjust and oppressive to grant extradition in the case of a "fragile woman with this appalling history of post traumatic stress disorder".
This was in reference to evidence given by her mother - former MP Bernadette Devlin - of the mental trauma Ms McAliskey still suffers as a result of an attempted assassination by loyalists in the family home in 1981 when she was aged nine.
However, a lawyer for German prosecutors alleged there was evidence linking her to the attack.
He said German authorities believed they could link the defendant to the IRA group which rented a flat and there was forensic and other evidence that the mortar battery was placed on the transit vehicle at the flat.
Ms McAliskey could be linked to the flat by fingerprint evidence, handwriting evidence and identification evidence, alleged the lawyer.
Judge Tom Burgess said he would deliver a reasoned and written judgement as quickly as possible.