I don't think that the comment you replied to mentioned culling? Sorry if I'm missing something here. I don't think culling will be necessary, don't worry! Her age is right around the time when she'll start laying, but if it's autumn where you live, she may wait until spring when days get longer, or lay if you begin to add light in the coop at night.
Weigh her to see how heavy she is now. Then weigh her at the end of the week to check if she's growing and gaining weight. Not to see if she's big enough to cook, just to make sure she's getting bigger not thinner, because if she's loosing weight you will want to test her for worms. If she had an impacted crop, it could have attributed to her loosing some weight, but she should steadily gain it back up.
if the others don't let her eat, that may be the issue. Observe them around the feeder.