It means Notre Dame will appeal the the Supreme Court.
Leaving aside the question of whether any actual Catholic would regard Notre Shame as Catholic, and, despite Judge Posner's outstanding reputation as a conservative jurist of libertarian sensibilities, it seems likely that SCOTUS will, under some rubric, grant some relief. The classic tests are likelihood of prevailing on the merits (Hobby Lobby makes this very likely and was decided apparently after the district court refused the injunction) and secondly weighing the "equities": i.e. would granting the injunction harm the government more than denying it would hurt the university.
A request for a preliminary injunction is a request for extraordinary remedy, typically to freeze the status quo pending resolution at the trial level of the case in chief on the merits. Given the glacial pace at which most federal cases proceed, great harm could be sustained by Notre Shame during the pretrial years. The government can probably live with an adverse result more easily.
Caveat: the ABC news report is sketchy and I have not read the actual decisions and dissents.