I don't mind a broody being protective especially towards other birds and animals, but most of my broodies, but not all, will call their chicks right over to me. That may just be more of a handling thing as I have received hens from other people that just don't seem to get that comfortable with me being around their chicks. Nothing wrong with them, just not that accepting. I have one hen like that right now that I used as a surrogate, just because of timing. Her chicks are really friendly, but often when they come to get treats, she calls them away.