I have prayed for both of you. May your health and well-being be restored.
Unless your wife has been incapacitated mentally by the fall, IMO respect her wishes. Hospitals are not without their risks. An adult should be free to decide what level of care she will have, barring incapacity of course. Making one's own decisions and having autonomy contributes greatly to an adult's quality of life, and quality of life generally trumps quantity (for example, who wouldn't prefer 1 year of freedom over 20 in the slammer?).