So she has one eye up until the time she opens the gate?
It does automatically mean bad depth perception. It's a physical fact, which is why we have two eyes in the first place. Sailors with one eye, and Roy Mustang with one eye would also have bad depth perception. She would definitely have to adapt her fighting style a bit to compensate for the one eye.
If you want you could note me the theory and I could look at it for you?