Her fighting should be more like Alexis on Nikita. Ben was shot by the guy Annie was fighting. If she realizes that it could be what she needs to get her self trained to take her assailants out of the fight so they are no longer a hazard. She needs to fight like losing isn't an option. So far, she has only been effective once - on the British agent.
She also needs to learn to shoot. True, NOCs don't carry a gun very often, but there are times when nothing else will work, as Jay has shown more than once.