I'm a senior and have housebroken puppies for others, so I am well experienced. I also was asked to housebreak my doctor's two puppies. Never ever put your dog's nose into their stuff. That is terrible and I have just wanted to cry when I hear this.
Speak to your puppy in a gentle, loving voice. They are just like a baby and you don't hit a baby! When she bites, stop her and say NO. in a louder voice. She will sense you are upset. It takes awhile but TRAIN her. She will be trained once you get her to understand what you want. She's still a baby but she wants to please you.
Now get her things to chew on. Will she play with a ball? Go get in bring it back? A little dog loves those little bouncy balls. Do you have toys for her?
Let's talk about the going pee and poop. The way I train a pup is not to ever let them have the run of the house. You can train them in two or three days if you follow this method. You have to take time to train your puppy and it does take time and devotion to get them to be a good happy pet. Whenever we got a new puppy, we knew we could go nowhere for about two weeks, except outside.
I put the dog on a leash and kept it right beside me where ever I was. I would put the leash around my wrist or ankle.
Puppy will sleep a lot. As soon as she wakes ,take her outside and then praise her when she goes. They pee pee as soon as they wake up. When she eats, take her out as soon as she is done. Go outside to play and watch her. When she goes potty, praise her big time.
I often would lie down when I had the dog on a leash and the leash on my wrist. As soon as the pup would wake, she will go in a circle looking for a place to pee. Then rush her outdoors again. They will not potty where they sleep so you are safe sleeping on couch or such w/her. She may know where the doggie door is and how to use it but she needs to be taught that you want her to go potty outside. She doesn't understand that yet.
I have never had trouble with a dog pooing in the house except for one time. I got an abused dog that was 3 yrs. old and never had been housebroken. I was so exhausted . But I'd take her outside for long walks and 2 wks after I got her, she pooped outdoors and I praised her over and over ."Good girl, go potty," I said over and over. That day she caught on and never ever went potty in the house again. It took alot of tiring hours but that is what it took. After that she knew what "Go Potty' meant. I could tell her to go outside and I'd say "go potty, we are going to bed". She would head out the door and go pee for me then.
Remember you may get tired now but she will be a blessed friend and all she wants to do is please you. And understand what you want.
One more thing, don't play rough with her if she is a biter, and just say no in a firm voice and constantly stop her and give her a toy or play ball with her instead. A pup chews anything and everythiing so provide her with chew toys.
You can do it. Love your doggie. If I had you for a neighbor, I'd help you. Hope this gives you confidence that you can do it.
I would reference my 50 years of dog training and housebreaking animals for many people. Experience is the best teacher.