If she has dug a den for them, it is actually probably better for their structure than an flat dog house. GSD bitches have been known to lay on a puppy though, most of us use boxes with pig rails for this reason.
If the dog house is large and plastic/fiberglass, does where you can break it in half (disassemble it), can you put the upper half over the hole she dug for them, that way she has the puppies where she wants them and it will shed the rain.
my set up has a doggy door, and my bitches prefer to leave the puppies in the house, in the box, and go out do their business and come back in. The inside area is totally safe from other dogs and people though.
Mostly, we like to raise GSD puppies in the house, at least for the first 3 weeks or so. I worry about snakes, and hawks and eagles, and owls -- anything that can take a large rabbit, can take a GSD puppy that is a couple of days old. They are helpless. The dam will protect them. But can she keep off a weasle or a snake? I don't know, I prefer them to be inside. And they need to get used to household noises -- I know their ears are not open yet. But they will be.
It's up to you. My neighbor at the time, had a litter of four puppies outside in an igloo dog house. It was January, and yes, 10 degrees below zero. They had no bottom to the house, but some straw. All four puppies made it until summer when three out of the four were slaughtered in the road. I got the fourth before it got smooshed.
Now is the time to handle these puppies. Twice a day, you should be weighing them, and handling them. And you got to keep mom safe and calm. And you need to think about where you want the puppies to go.
Ah well lots of stuff to think about.
Heidi Ho, Odie
Joy-Joy, Bear Cub, Hepsi-Pepsi
Cujo2, Karma Chameleon
Ramona the Pest, Kojak -- who loves you baby?
Tiny Tinnie, Susie's Uzzi, Kaiah -- The Baby Monster.