So, will your Mother receive the transfusion she needs to overcome this illness? Or, will it be denied her for "religious" reasons?
Somehow, putting blood into the human body where it actually belongs just doesn't seem wrong. The body itself makes blood and infuses it into the circulatory system. Therefore, a transfusion is simply an external method of duplicating what the body does naturally, albeit at a much accelerated pace.
In order to "eat" blood we'd have to take it in through our mouths. Which is precisely what Satanists do when drinking the blood of animal/human sacrifice victims. That is wrong.