High winds definitely influence movement.They have the effect of negating or distorting all three of their senses.They are skittish because they are trying to decipher odors coming at them from several directions making it more difficult to determine the source.Visually every thing in the woods is moving which it makes it more difficult for them to determine which movement is threatening and which is not.Lastly they are being inundated with all kinds of noises,the wind,cracking limbs etc.also making it more difficult for them to tell what is threatening to them.
I am accustomed to having deer go in to much more open area's even fields when winds are severe because they can at least use their eyes to detect danger.They bed in fields by my home all the time in high winds,usually a group will position them selves to be facing in every direction,