We have a half game half buff orpington rooster, not sure if you want to count him but he's never shown any aggression. 

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Game hens may not be mean, but I just went out to collect eggs and caught an egg eater red footed. Been having a hen hogging the nest..but not broody. Yesterday, I had to roll her off to get 1 egg. Been getting 5. Well today, at 5pm, she was hogging the nest again. Grumpy and all get out...attacking my hand....but not broody. I got my 2 eggs, and she plumped herself back on the nest. Another hen, who had been waiting all day to get the nest, climbed on top of her and laid an egg. The egg eater reached around, and ate that fresh laid egg. After she ran down to the feed area slurping her fresh egg, she came back up to the nest and I grabbed her. I don't know if the others are now egg eaters too.
I did the same thing with a red Thai hen. Not only did she survive, but layed 12 unfertile eggs in a hidden nest. My stepson discovered the nest and we swapped eggs for some fertile ones. She hatched and raised them all and avoided all the predators while she was at it. Dunno why she didn't eat those eggs, but she's a changed hen since we let her out. Good luck with yours..........PopUpdate on the offending hen. DH and I leg banded her, and she is free range now. That way, if the others escape the chicken tractor...(which they do sometimes), we can tell them apart. She gets to stay outside the coop from now on. She can lay her own eggs...and eat them. As long as she isn't eating the other eggs.
Went out today, and she was trying to get back inside the coop. Oh well.
I just didn't feel like chicken processing last night, nor today. She gets fresh water, and a handful of feed every so often. And freedom...if she survives the fox, the 2 young labs, the other puppy, the hawks.....and so forth.