Well in the anime you can see her running away when accel attacks, one of the fewer new things I liked is kakine additional monologue about underline being used to monitor kakine and send accelerator to the scene quickly, albeit with the liaison or a middle man between him and aleister informing accelerator.
Money thing was a joke, I know it's supposed to be an ATM, that's the thing people note when talking about cuts in the anime. All the same we'll see just how much of an improvement the fight will be in the next 2 or 3 chapters. The fight in both the lightnovel and the anime left a lot to be desired in my eyes, and I say that as someone who isn't really invested in either or the characters.