I would call the vet again, and ask if they could stitch her up without anesthesia. It would be good to know if the esophagus or crop are open or just exposed, but intact. Putting one to sleep is dangerous, and crop surgery can be seen online without using anesthesia. Rinse her wounds with plain saline, and Vetericyn wound spray or plain Triple Antibiotic ointment is good to use. We are all pulling for her.