One day after hearing oral arguments in the cases challenging the elimination of religious exemptions from New York's requirement that health care workers be vaccinated against COVID, the U.S. 2nd Circuit Court of Appeals vacated temporary injunctions that had been issued in We the Patriots USA, Inc. v. Hochul and Dr. A v. Hochul. In its October 29 Order (full text), the 2nd Circuit said that written opinions in the two cases would follow expeditiously. On Nov. 1, petitioners in We the Patriots case filed an Emergency Application (full text) with the U.S. Supreme Court seeking a new injunction while they file a petition for certiorari with the Court. Washington Examiner reports on the filing.
UPDATE: Here is the 2nd Circuit's 50-page opinion supporting its Order rejecting requests for a preliminary injunction. We the Patriots USA, Inc. v. Hochul, (2d Cir., Nov. 4, 2021).
UPDATE2: On Nov. 12, petitioners in the Dr. A case also filed an Emergency Application for an Injunction or in the alternative the granting of certiorari. (Full text of application).