The arrows/robots don't constantly bug me for some reason - after all, she's very good at it, and can avoid conflict when she wants. The parts that always had me trying to suspend disbelief for that reason was her insane dancing with death every time she wanted to free-climb something. "Ooops I missed a low-percentage jump handhold... guess all of humanity is dooooomed..."One errant arrow or robot encounter and Earth is officially done.
This is narratively alleviated somewhat with the hang glider, but narratively trying to play Prince of Persia with crumbling, rusty infrastructure was far, far more dangerous than ambushing machines she knew everything about.