In a funny sort of way i guess if i was in hospital and a nurse offered to pray for me, then its fine, if she did it out of sight and not embarrass me if front of everyone. Say for example if a Muslim nurse or a Hindu nurse offered to pray for me, i'd be well embarrassed in the ward, not knowing what was said or done.
Hospitals and Government buildings should be religion free zones, where people can get immediate answers and problems solved without feeling hurt or embarrassed by the actions of others.
For this reason i now feel that the nurse was wrong in offering to pray for someone without know their full religious background.