It is a possibility, but it's often overstated as a likelihood. Wikipedia has a page that lists fatal bear attacks in the US, broken down by black bear, grizzly, etc. Since 2000 there have been 4 fatal attacks in the east by wild bears (there was another by a captive bear that attacked it's owner's wife, in PA). 1 was an infant which I assume was left unattended by the porch of the family vacation home in NY, 1 was a 6 year old in TN, a 50 year old in TN, a 22 year old in NJ whose group was running away. Nothing recent in VA that I saw. It's small consolation that the offending animals are usually identified and killed (and then verified to be th right bear).
Still, if she was obviously injured, weak, disabled, I think she would be a target for the right bear. I have lots of bear stories from Shenandoah and most of them end with the bear running away in fear, but occasionally just ambling off. I have been so close to a big bear that I spooked down in Big Run that I felt the ground shake and I spun around in a circle looking for the horse that I thought was going tp trample me, I was cooling off in a pool once, wearing just my glasses, watching the fish, looked up and saw one checking me out 10 yards away, head moving up and down, sniffing, looking at different angles (they don't have great eyesight). I was a little concerned about that one but the bear turned away and resumed it's exploring elsewhere. Had I made any move at all it probably would have high-tailed up the ridge (I was getting ready to do some moves to demonstrate that I wasn't carrion but a healthy human being) . Many more encounters but those are a couple of the closer ones.
Mountain Lions have been reported, and seems likely a couple are around from what I've read, but no proof and no attacks in VA for like 100 years or more. I would think the ones that made it this far would be very discrete and stay far away from people. I heard a pack of coyotes in the evening, on an overnight backpacking trip in November. Don't think they would attack anyone that could move at all. There's reports of Coy-wolf which I am guessing are the larger coyotes that are part wolf and supposedly originate in the Great Lakes region. For the most part I think a carnivore will not attack, but may keep track of a vulnerable person from a safe distance.