I'm not sure what you mean by the hen being so mean trying to retrieve the chick. Mean to whom? In what way? Which chick, first or second? It's pretty normal for mothers to protect their babies, broody hens are famous for it. So is it normal? Probably but I'm not sure what is going on.
How many days apart did those chicks hatch? Did you start all the eggs at the same time or did other hens continue to lay in the broody hens nest and those eggs were left. There is a lot I don't understand about your situation. I generally collect all the eggs I want a hen to hatch, mark them, and give them all to her at the same time so they hatch about the same time, check under her daily to remove any that don't belong, and leave the rest up to the hen.
Since the chick absorbs the yolk before it hatches it can go over 72 hours without eating and drinking. That way, if they are all started at the same time, the hen can hatch them all before she needs to bring them off the nest to find food or water. No need to take chicks away early.
I let my broody hens raise their chicks with the flock but you can brood the chicks yourself if you wish. That will get her back to laying earlier. Otherwise she won't think about laying until after she has finished raising the chicks. Before a hen even starts laying she builds up a certain amount of excess fat as a reserve in case she goes broody. A broody hen eats and drinks a little while broody but spends most of her time sitting on the eggs. She mostly lives off of that fat reserve, so by the time she hatches a lot of that reserve will be gone and need to be replenished before she starts laying again. That will take time.
So what can you do to speed that process up? Realize it will not be overnight but it will take some time. I never take the chicks away right after she has hatched. It normally takes about two weeks for them to start laying after they wean the chicks but they have probably been building up those reserves some while raising the chicks since thy are not confined to a nest. I had one hen that started to lay even before she weaned her chicks but that is extremely unusual. I've had some that started the molt early in late summer before they weaned their chicks so it was months later that they started to lay, but two weeks isn't unusual.
Fresh off the nest her reserves are probably pretty low. It may take a little longer for her to get to laying status again. She should break from being broody in a couple of day of taking the chicks away, most do. She will get her reserves built back up to resume laying just on what she regularly eats. You can probably speed that up some by giving her treats rich in protein and fats. BOSS (Black Oil Sunflower Seeds) would be perfect for that as they are rich in both.
