As long as she is in a nice dry wind-proof coop with a little box for her to huddle in to maintain warmth she'd be fine. She would be sitting there anyways...being broody and all. Give her babies (eggs to hatch) to make her happy (and end the broodiness) is my advice. They DO get depressed if you take their chicks away. But if you are just collecting eggs then some broodies attack and peck, and others don't. (If you don't want a hen to be broody some people have success with putting them in a cage with a wire bottom for 24 hours with food and water, but that hasn't worked for me the couple of times I have tried it.)
Thanks which have you found most benifical allowing the hen to hatch babys or raising them yourself?