New Chick

I am a little new to eggs. Our Black Jersey Giant went broody and so I bought a fertilized egg from a friend and stuck it under her (in the coop). Well it hatched this monring! I put out fresh water and starter for them. The BJG is the dominant chicken in my flock but she doesn't peck at me when I checked on her egg regularly. Do we need to separate them from the toher chickens? Is there anything I need to do? All the chickens laid eggs today in another nest but as I said, I have never done this before so I am not sure what it is I need to do. We don't have a rooster. Any advice before the chickens come in to sleep for the night?

Thanks,
Elizabeth