When I was brand new to goats, and doing lots of reading about their care, I came across something that said, "If the weather is bad for an extended period, make sure your goats have access to food and water in their barn. They won't go out in heavy rain or snow." I found this rather surprising. My horse is perfectly happy to graze in the rain, the sheep I had previously owned were out in all weather. Why not goats? I suspected that the person that wrote that was being melodramatic.
Then it rained all day one day. And the goats refused to set a hoof out the door. The same is true for snowy days. A sprinkle or a dusting, they will venture out to eat and drink, but if the weather is harsh, they stay put.
They will spend some time looking longingly out the door, but mostly, they settle in.
Here in Maine storms can blow through with great force, and last for days. The goats have taught me that the best way to deal with them is to lay low. Rest. Nap a little. Eat a bit more than you might ordinarily. Watch the beauty of the storms from a safe spot. Then rest some more. Good weather will return, and that is when it is time for the daily frenzy of activity that is the norm. Moving with the rhythms of nature is a better idea than fighting the wet, wind and weather. Goats have better sense than a lot of people I know.