I am so sorry. It is highly unlikely Caramel will survive either way. When birds start laying internally and infection takes over it's almost not possible to cure.The vet called me back, and I'm left with another interesting ethical decision to make. They found yolk inside Caramel, it was an internal laying that must have happened quite some times ago for her to have been in respiratory distress from it.
The vet says they can do an abdominal enema and then sterilize her, but she is not completely sure that Caramel will survive the operation. It means anesthesia and opening her up, and she says ovarian tissue is very diffuse in layer hens.
Or we can take her home with antibiotics, but this very likely means letting her go. We took her too late to the vet to have her simply heal on antibiotics and eventually implanted.
By the time a chicken starts showing obvious signs of illness it's already almost too late to start antibiotics so please don't beat yourself up about the timing.
Keeping your flock on a well balanced diet will help prevent these type issues. If you feed treats now would be a good time to reevaluate their diet.