Definitely get her to the vet. The fact that she stumbled up the cat tree would have me worried about injury to her legs. If she is still behind the sofa, obviously distressed, almost 24 hours after the fight then that it not right. Most cats if they have an altercation would be worked up and jumpy for a while but if she is still hiding behind the sofa and hissing at you, then she is most likely in pain, bless her. Good luck and hope you can get her to the vets ok without injury to either of you
Does your vet to do home visits? He could maybe sedate her to have a proper look?