Brian, the problem you appear to have is that someone seems to have presumably made "pottying" a emotionally-laden issue for your pup. They may have yelled at her, smacked her with a newspaper, or far worse. She didn't understand that they were mad because she went in the house. She learned that they were mad that she did it at all. These humans get mad when they see my poop.
So she seems to be afraid of letting her human see her go poop and pee.
How to fix this? First. And this is the hardest part, don't ever let her see you get frustrated or angry. Breathe deep. Put her in another room, then clean up the mess. It's not her fault. Some other complete
idiot taught her this is what she should do. She really is trying to please you. She really is.
Then put her on a schedule, just like a puppy. Every time she eats, drinks, plays, or exercises, she goes outside, on a leash. Take her to a grassy area, even if it's just a clump of grass next to your mailbox. Then walk her around for at least 10 minutes. Then take her back to the grassy area. Then if she still hasn't done anything, bring her back inside and put her in crate. This schedule is going to be grueling at first -- just like having a baby pup. I won't lie to you.
You won't get frustrated. You won't get annoyed. You'll keep telling yourself that some idiot messed up this poor sweet dog then having done so, gave her up to be adopted by you. You will be her hero.
As often as you possibly can (even in the rain, snow and dark of night) take her to the park, or any greenbelt area, and let her run and play. Keep her on a longline (or even a flexi, if she is gentle and well behaved. I hate flexis, but this is one exception). You want her to have fun and play. But she needs to learn that she can be with you and eliminate her bladder and bowels without being punished.
Exercise is the best laxative. The more you can get her moving, the more she will go. When she does go, give her treats. Not biscuits --you're giving high value treats -- hot dogs, deli meat, cheese. Wonderful delicious snacks. As soon as you see her start to squat, whisper (because you don't want to disrupt her) good girl! good potty! good good good! As things start to flow, get excited. Get crazy. Whoop it up. Good potty! Yay! As soon as she finishes, hand her tiny pieces of snacks. one right after another, repeating good potty, good potty. good potty. Make the wonderful experience last a bit!
Yes, your neighbors and passers-by will think you're crazy. Who cares? They're not hosing out that crate.
If you do this consistently -- and PATIENTLY -- your pup should be about 80% reliable (maybe more) within a month or more likely two. Within several months, she should be more comfortable going in front of you (though she may look for a bush to duck behind when possible) and might be able to potty on command (when you say "go potty"), with perhaps an indoor accident here and there. A couple months after that, you should be home free.
It's very hard to come in and clean up when some moron has messed up a dog. First, we have to earn the dog's trust, which means that our feelings and frustration have to get put on a shelf and we have to dig up all the calm, patience and zen we can find within us.
But I will tell you, once we do that, once we get through a challenge like this, we have a dog that loves us deeply, completely, on a level that many dog owners never understand. There is something in the eyes of a dog that has been truly "rescued" that is worth every cleaned-up accident and all those 10pm visits to the park.