Well, since she's been forbidden all efforts at oral feeding, sending a bird wouldn't do much good unless it could get past her guards. And even if she were substantially cured, MarMena has posted of cases in which people who were quite capable of asking for food were nonetheless denied because they were judged incompetant to make such medical decisions.
I believe in miracles, but subtle ones. If a bus is racing out of control down a mountain road, God might impart just a smidgin of horizontal momentum to keep the bus on the road when it would otherwise have gone down the cliff, but he's not going to suddenly turn the bus into an airplane.