The article includes a link to a video report, which shows a Google Earth depiction of the location of Dorn's camp. Pausing the video while examining Google Earth on my desktop, the approx. location of the camp appears to be:
33 04 57 N 108 27 26 W
This is along the main fork of the Gila River, south and west of the Cliff Dwellings and Continental Divide Trail. Her camp appears to have been on the north side of the river, at an unnamed side canyon just east of Hidden Pasture Canyon. If the river were to rise here, the only practical option (other than waiting for the river to drop) would be to head up the side canyon, and bushwhack over to Turkey Creek, then follow trails east to the Cliff Dwellings, or head west to Mogollon Creek and out to Hwy 180 south of Glenwood.
Why did she stay put? Wild speculation, but it's entirely possible the generally sound advice to stay put and wait for rescue in this case gave the individual too much time to turn the river into a monster in her own mind, one that boded of death long after the water level subsided, and paralyzed her from changing course and taking action on her own behalf. The critical window for self-rescue would have been before running on metabolic empty. After that, her odds diminished either way, and her survival ultimately was in the hands of chance.