If it were me? Yes, I'd move your broody to a dog crate, broody pen, etc., so she can still be with the others but they can't get to her. It is recommended that you move her at night. Wear a long-sleeve shirt and GLOVES 'cause your broody may get a tad nippy with you! Pick up the ENTIRE NEST, eggs and all and move it to the new area. Trust me, your broody will be right on your rear end! Settle her in, watch for awhile that she doesn't abandon and have her own water and feed setup in the crate/pen. Some broodies will go for several days without eating/drinking, but since you're not there 24/7 she IS getting what she needs...sneaky little chickens! Keep up updated how your big "move" goes...in the long run it's way better for both the broody and the little chicks to come!
My two broodies this year both chose to nest in an elevated nest box. I just left them there, put a feeder and waterer in that part of the coop with them, then enclosed that part of the coop to keep the other hens out of the nest. Others (Donrae for one, not sure about Mrs. K) will let their hens nest and hatch with the general population. I just haven't had good luck doing that. Anyway, if it were me, I'd take the food out of her nest box, put it where she has to get up to access it, and let her stay where she is. I knew when my broodies were supposed to hatch, so the day after the first ones started hatching I took mom and babies out of the nest, put them on the straw-covered floor and let the mama do her thing.
If you have a die-hard broody she will not want to go to the run and pasture...the only thing on her mind is hatching. She'll leave the nest momentarily to eat, drink, and poop...that's about it. The reason I had asked is because I saw that she is directly under the roost bar and poop will be getting plopped on that cardboard box lid.
