Though Utah requested that Justice Sotomayor issue the stay on her own, the Court's very brief order indicates that she referred the decision to the full Court. No justice indicated a dissent, although that does not necessarily mean that all nine justices would have granted the stay.
The Attorney General's office, at current, is stuck in the position of trying to please everyone with some really strange logic:
We are unable to reach a legal conclusion as to the ultimate validity of marriage between persons of the same sex who completed their marriage ceremony in Utah between Dec 20, 2013 and Jan. 6, 2014. That question remains unanswered and the answer will depend on the result of the appeal process.
We'll see what happens next?