What do you mean they have accepted her but push her away? To keep a blind duckling I'd think she would have to be in a pen that is very secure with feed and water always in the same place so she can find it easy. And with a buddy that will help her find her way around. So you might try and see if she'll bond and vice versa with just one other duckling one that is laid back more than the others.
Bless you for taking it in.
I am pretty sure some of my Runners lay before daylight so most likely that won't make a difference in laying with this one.