She could not use a bow if she could not see welll ... That's a popular misconception, as there is even Olympian games' champions that are almost blind. What you need is mainly stable aim and calculate the efect of wind, and what most people do not know, strenght, draw a bow can require a lot.
Good eyesight is required if you want to hunt, to see where the hell is the prey, from where the missconception comes from.