She should be fine; when poor Beauty got here she was in FAR worse shape. Beauty was so crushed that her babies were resorbed into her body, as gross as that sounds. There's certainly NO need to put your baby down at this point.

I'd stay with the liquid. I'd scruff her firmly, tip her head back a little, and put the med into her cheek pouch. I'd be careful to not lean her back on her damaged legs, just tip her head back enough to work.