At Belfast Crown Court on Wednesday, Judge Gordon Kerr QC and Belfast Recorder Judge David McFarland listed the arraignments in a week's time.
McGlinchey, from Stockmans Lane in west Belfast, is on bail facing charges of providing property, namely a mobile phone, for a terrorist purpose on 8 March 2008.
The charge arose from the investigation into the murders of Sappers Quinsey and Azimkar who were gunned down outside Massereene Barracks.
In a separate case McGlinchey is accused of aiding and abetting a meeting in support of a proscribed organisation, the IRA, on 25 April 2011.
Defence lawyer Sean Devine asked for each case to be adjourned as McGlinchey is currently in hospital and each judge agreed to the application.
The lawyer further applied to Judge Kerr for a reporting restriction which would bar the media from taking, recording or publishing McGlinchey's image, arguing that the one-time IRA bomber is living under a death threat.
He further submitted that such a ban would "give comfort" to McGlinchey, also known as Marian Price.
On behalf of the media however, lawyer Frances Lynch told the judge there was no verifiable evidence substantiating the death threat claims and that while McGlinchey would no doubt take comfort from a banning order, so would every other defendant and there was nothing exceptional about her circumstances.
While each of the arraignments was adjourned until next Wednesday, Judge Kerr said he would rule in the defence application on Monday.
McGlinchey served a jail sentence along with her late sister Dolours Price for the 1973 IRA bomb attack on the Old Bailey in London. Her licence was revoked in 2011 and she spent two years in custody before she was finally released earlier this year.