It means that "him" (Kennedy) referred "it" (the request for a stay) to the "court" (the nine Justices) before it was "denied" (not granted).
This article says the same thing:
In a one-sentence notice, the court said that the matter had been presented to Justice Anthony M. Kennedy, and referred by him to the full court. But it offered no explanation as to why it was denied. The justices seldom elaborate when they turn down cases decided by lower courts.
The comunion is more for the benefit of her blood family, it would confort them. Terry fate is already sealed.