"You might be missing my point, guys (and gals). I'm not defending the care worker's right to have made that prayer."

Well, Little Hawk, unfortunately it is that very "Nurse offering to pray with patients" case cited in the thread title, which forms the fulcrum from which this entre discussion is being generated.
I don't think anyone is assuming perfection here. Just offering the dangers implicit in her case, and why what she did might not be the best of things - especially if officially endorsed, despite her best intentions.