I agree with giving your kitty more time, especially since you said she is skittish anyway. I have one cat that still runs (or scuttles) sometimes from room to room, but will come out and be in the same room with the dogs when she feels like it. She doesn't socialize with them, but is comfortable being in the same room. It took some extra "no kitties" to get the dogs not to jump up and start to chase when she runs by, and I have told her over and over, "Fat Ethel, if you didn't run, they wouldn't want to chase you". She will eventually get more comfortable and come out, but you will have to be really on top of things at first to make sure your dog doesn't try to chase her again.
and I agree with JJNg, don't take away her food and box, for now she needs them in her safe zone.