I believe you are confusing this case with Murphy v. Collier (2019), which was a 6-3 decision in favor of a Buddhist inmate in Texas. Willie Smith, the inmate in this case, is a devout Christian who wanted his pastor with him.
The mystery here is that both Alito and Gorsuch have previously expressed skepticism that the statute Smith relied on would allow inmates to bring spiritual advisers into the death chamber because of that security issue; Alito mentioned it in his dissent in Murphy, which Gorsuch joined. Assume Gorsuch was more likely to join the liberals here, but nevertheless a reversal from his position two years ago.
I just reread our messages, as it was a couple months ago. You are correct - she refers to someone as “Pastor Wiley”, and then explains about the Buddhist priest in
Murphy.