Sorry to hear about the fight. I unfortunately have some experience with dog fights! 22 dogs are bound to have the odd conflict.

Most likely, your dog will rebound just fine and not have any issues with other dogs. I'd keep her away from the one who hurt her at least until she is fully healed. Then, you can try a slow, safe meeting on neutral ground. Keep in mind that females tend to hold a grudge more than males. Female-female fights are a whole different ball game than male on male fights. Males generally fight for dominance and although they hurt each other that's not usually their goal. Females will fight til one of them is dead. I keep my females seperated when I'm not right there to supervise them and some of them never get around the other females.

If your pupper does act frightened when she is around other dogs, it's important not to reinforce that behavior. No coddling, no extra attention, no treats, no coaxing. When she acts scared, you act like everything is fabulous. If she gets rewarded for acting frightened, she will continue to do so and likely do it more often. If you ignore those behaviors, eventually they will extinguish themselves. Reward her like crazy when she acts brave and confident!

You should also learn how to break up a fight in a safe manner. Personally, I think every dog owner should know how do that. By screaming and jumping in the middle, essentially, you became part of the fight. That could be dangerous for you. I've been bit a couple times breaking up fights and always when I did it wrong. I keep a marine air horn by the door and one outside. If the dogs haven't gone into full fight mode, the loud blast usually stops them. If they are already into it, I grab one dog under their back legs--not by the tail!--and pull them up and back. They automatically look back to see what the heck is happening and the other dog can get away. It's easier to do with two people--one for each dog. A soaking with a strong spray of water from a hose can work too--I don't have that option as I don't have enough water pressure outside.

Hope Lilly recovers quickly.