It's that time of year which always involves sneaking around egg swapping
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Unlikely she will go for day olds, they're not that daft a lot of the time and she may give them a good peck and kill them.
You can also confuse them and they go about in a state for a time and it may kill her eventually.
If you take her off she will go mad trying to find her eggs - can't you get some fertile ones from someone nearby and swap when she 'naturally' comes off for a break? Keep one or two of her own as they will be warm.
If you try and take her off completely you will have to 'shock' her out of her present state if she is really broody. You have to dunk her in a basin of cold water for a minute or two to literally cool her off - don't cover her head, just body, you'd have to hold her obviously. Sounds barbaric but it does the job and its better for her health in the end than letting her wander around for weeks in a half broody non-eating, hormonal state.
Don't worry about her lack of coming off for a break - I've never taken them off - just leave the door open and food and water nearby but not too near to attract rats. She'll do what she feels is right for her and she would rather you didn't interfere - really don't fuss, just let her get on with it. She will happily sit over her time, so a week isn't much to worry about.
I'd try getting fertilised eggs under her, if she's really broody she'll sit on just about anything.
I used to keep some buttered couscous to give along with grain if I saw any of my girls on a break, it gives them an incentive to come off
Good luck.