I don't think that wind will be too much of a problem.
Maybe the wind won't be a problem for you. I live in an area that can be very windy and also, due to dry conditions, is subject to wildfires, so I am extra, extra careful. Fortunately, my oven is very well protected from the wind.
It has an exterior chimney mounted over the opening so if wind were ever to blow directly into the opening, it could flush ashes and cinders back out the opening. Also, there are times (e.g. before baking bread) when you want to remove live coals and ashes, a hazardous operation in windy conditions. If I had to do it again, I would have some kind of chute in the back or side of the oven so I could just push the ashes and coals down the chute. I have one of these on my indoor fireplace.