As an Orthodox Catholic we do and have done Moliebens (anointing of the sick) many times for non Orthodox. It is a sevice for the healing of the sick. One time we had one for a Mother Superior from the Nuns of the Good Sheperd. She was suffering from cancer and we held a few services for her and annointed her with oil. She even said she felt better after the service for quite some time. But her sickness did get worse and she did fall asleep in the Lord and a few of us along with our Priest and Matushka attended her funeral at the mother house. Another example is my wife who is now in final stages of cancer did have a healing service a couple of years ago performed by the same priest. She appreciated it and was grateful in having it done. I also read prayers over her and I also anoint her with holy oil.