Distribute to exactly who? In the first quarter, I'm guessing she was passing to teammates, took exactly 2 shots and by then, it was apparent that nobody was hitting shots. We know that Battle has shown the ability to get and make her shot. I imagine that Coach Dawn may have sent her back in the game late in the first with instructions to maybe start looking for her shot more. 2 shots in a quarter, one of them a lay-up, I feel shows pretty good restraint.
Now, since I wasn't actually able to watch, (Live Stats p-by-p only) I can't attest to whether she was taking good shots, average shots or taking bad shots at the expense of open teammates. Hindsight is easy, but with all the missed bunnies from everybody else, it seems more a matter of who would you prefer miss a bunch of shots.