Great Pyrenees puppy we got killed a chicken. Is it a lost cause or how should we train her?

[Red Mangrove]

You would likely receive some better advice on a Great Pyrenees forum on training her, as the LGD's have unique training needs.

They simply need to live with the animals they protect starting on day one. My Alabai and German Shepherd mix have 24/7 full chicken access with my free range flock. They've protected my chickens many times and have never harmed one

It's acclimatization, not training