['My grandmother is in the hospital after being in a car accident. The doctors are taking good care of her so I feel she is in good hands.']
Oh, I'm sorry to hear that about your grandmother.  I'm close to my grandmother so I would definitely need for the doctors to provide the best of care.  I'm sure you are looking for a speedy recovery.
My grandmother is in the hospital after a car accident. She broke her hip, but I hope she will recover. The doctors are taking good care of her.