Does all seem rather peculiar and petty, however, we don't know if this nurse was trying to shove her beliefs down this patient's throat before the offer of prayer. She does appear to have quite a strong faith.
As she was only dressing her legs, obviously hadn't much faith in her own healing and would scare me a little to think I might need 'extra' help.
On the face of it I would have taken the offer in good spirit (even as an atheist). As Tesco says though 'Every little helps'
LOL Margaret ... you must have been having the same thoughts as I, as I was typing this post !