Remember the hinges will be exposed, so you might consider getting security hinges to prevent a thief from being able to get at the hinge pins.
Also, stable doors have an overlapping construction at the mid-joint, so that the wind can't whistle through the joint when the door is closed etc; so what you say, well, this means the top of the stable door can only open in one direction ( inwards ). If the door were completely symmetrical then that wouldn't matter but it is customary to put the beading for the glazing on the inside to protect it from the weather. My stable door ( from Do-It-All ) has glazing beading on the inside, and this beading sits on flat sections of wood, which would collect water if they were on the outside. So, if you go for a glazed stable door of the same design that I have, though it will work OKwith the normally-inward side facing outwards, it's definitely not the way the designers were thinking of when it comes to weather-worthiness.
Andy.