We have to remember animals don't show pain like us humans, and I'd say she is in pain. Not putting weight on her leg for one. and not pushing back. When you lay her on her back for just a sec. and pull gently both legs down straight do you notice anything different with the injured one? Best i know to do is let her rest and move around in the brooder only. Try not to make her get up an move let her decide what she wants to do but do give her warm water therapy at least a couple times a day. Even if she only floats the warm water will keep her muscles relaxed. Like I said leg injuries sprains etc take a while to heal maybe a week or longer. But if you notice any change in appetite or her showing no interest in her sis then time to get to a vet. or even now if parents are in agreement. I'd hate to say yes let her get over it and something be seriously wrong. you all are there and see what she is doing. Duckling have soft bones when young so hopefully this is just a sprain and she'll bounce back quick.She's still eating and drinking. She's alert, and noodles around with her sister. Like before, except she now does most of this sitting down. She can move around the brooder some, hopping on one leg and using her lame one for balance. But most of the time she's sitting down.
I'm glad she doesn't seem to be in any pain, and I don't think she is. But her leg really worries me. If you push her normal leg towards her, she'll push back. If you push her injured leg towards her, you'll just end up folding it against her body, because she can't/won't move it. I'm not sure we have a vet near us that will see ducks, but we might. Maybe not a specialist but someone who deals in birds. But I really don't know what's wrong. Could it still be something like a sprain or strain if she's not showing any pain? Or something more serious, like a lame leg?