Nice remake, the issue everyone seems to have, the shooting, should be solved by enlarging the hit box, otherwise, pretty good.
For beating the chick, shoot her in the dick (heh) when she (it?) lifts a barrel aim where the barrel will start and fire away, when she lifts her feet to stomp aim at the top of the screen and fire away. Lasers...well, go for the eyes.
This is an exploit because the flash has to create the object before it can move, which gives you a split second where the object doesn't animate. :D