Yeah, I'm not really feeling this design so far.
No bird powers that I know of, so that power shouldn't really be here. Definitely not heavy machine gun. From my limited knowledge of her she never used a machine gun, just handguns, but I admittedly don't know her that well.
And 4/4 with Close Combat Expert makes her a better fighter than Batman, which I'm kind of doubting she is. If we want to keep CCE, at
least go down to 3/3, in my opinion.
An ability that gives her a bonus when driving vehicles might be kind of cool, especially if we ever get to aircraft.