That's what I hate about professional sports, their rules are so specific they make it so you can't challenge certain common sense things.
I think that anyone with a brain would say "Hey, challenge who recovered the football!" but the NFL rules state that the refs can only look at if there was a fumble, not who recovered. So when a ref makes a mistake, as she very clearly did, you can't fix that.
It's similar to a few years ago the NHL couldn't overturn a goal that was clearly not a legal goal (as it went off the netting, which is considered out of play, and back into play), but by the rules they weren't allowed to challenge it.
It's completely asinine that a professional sports league can have situations like that happen. When something so clearly happened but a simple mistake was made (because refs are human as well) so the wrong call was made. Basically league's need to make a human error "Oh shit" call that allowed a ruling to be overturned, but they're so afraid of admitting that their refs may make a mistake that they'd rather shit like that happens.