The sky is all white because you went too far! You followed the "rule", and used exactly the 2 stops that I said was approximate. Don't take pictures by measuring according to rules, and don't edit that way either! Instead, look at the picture and decide what actually looks best.

I edited the JPEG that you posted. No doubt the RAW file can be done better, but this shows the potential. This involved adjusting brightness and contrast, and juggling that with saturation. I also blurred the sky and shifted the color slightly to make it less blue-gray. Because this was done starting with a JPEG there is a halo around the bird where the sky is in the background, and there is more noise than if it had been done starting with the RAW file.