I'm new and am not a giant River fan. Hell she couldn't even convince me to watch the Sarah Conner crap, but she's very good in either a knuckle brawl or gun fight. That said, she was never going to make it against anyone who's going to spend the battle thinking. Not only does she lose against the Dr., she'd lose against Batman also. Both for the same reason. If she manages to knock them back on a pure physical level, they'll stop, think, and win. Kirk was good with a plan, but switching streams was not his strong point, and that's what you need to beat her.
I also gave Anthony Fremont the win. Very few have any kind of chance against him. The Doc's one, and Bats and Kirk might find their way back, but they would've lost the first fight.
