Try to put here under a heat lamp , if that doesnt work you will have to remove the egg by hand , if you do this be sure NOT to break the egg she will die
Greens need some sort of animal protein in there diet , i feed mazuri feed which has animal protein in it ,you can also suppliment your feed of choice with fish food , purina makes a catfish pellet that works
Some pheasants will abandon the nest if you mess with them once they set , goldens are pretty laid back so i would think they would accept anything , i knew a guy that used swinhoe hens to hatch his satyr eggs , i personally use bantam hens and incubator , r com mx 50 and a graumbach s83
You should be ok what gets them is the extended cold i would lock mine up a night in the building when it would get below freezing then let them out during the day , it usually dont stay below freezing here all day or multiple days
First they need a dry pen , a wet /damp pen is a disaster, they are susceptible to respiratory infection, they also need some heat in the winter time if your in a northern climate keep the adults away from domestic chickens the chicks are highly susceptible to coccidiosis