Ahhh...This is so sad
I think you should call her though and see if she will work something out with you...
Just an FYI: I have seen quotes from U of Tenn for around $1300 (LS surgery, neuter, teeth pulled, all tests, etc.) and Cornell must be pretty reasonable as well...
BUT if you are set at the Specialty Hospital already, maybe apply for Care Credit or a special credit card just for this