Hi C.!
I think this is really normal for alot of kids at this age. I know my son, now 5, did something similar before he started Kindergarten this year. Once he began school, he was "occupied" until he came home, which is when he would go. He eventually had "no time" to think about it, and it just happened.
"Poop happens", and there's no way around it! They come whether she wants it or not. She'll figure out that it's a normal daily happening, and she'll get used to it. Right now, she is at home, so it's the worst event of her life, and it's all she thinks about NOT wanting to do.
I stopped asking my son "do you have to go to the bathroom", as he was standing there with that "poop look" on his face. I thought, he'll figure it out by himself. He knows where the potty is, and he knows to call me when he's done. As long as he didn't go in his pants, I was fine with him waiting until the very last second. He eventually figured it out by himself. When he did, after the first time, we went to the supermarket and bought cupcakes, and had a "Poo Poo Party" to celebrate his success. After a couple of days he became so much better, I had to keep making a "big deal" out of his success, so after he went (without me reminding him), I would do this BIG pick him up, and swing him around "song and dance". That made him want to be successful, so I would do that everytime for him. He still remembers that "song".
For now, just "ignore her". Let HER be the one to decide if it's time to go. She'll figure it out by herself.
Good Luck!
:o) N.