Of course it's impossible to say for sure without seeing the bird, but chances are that the wing is not broken, but that she has a condition called slipped wing or angel wing. It's usually caused by an improper diet, although some domestic breeds have a genetic predisposition to it. It will not harm her, but it's unsightly and will make her unable to fly. If caught early enough before the feather shafts are completely grown in and solidified, it may be fixed with bandaging the wing in a certain way, although it's not the easiest thing to do, especially if you've never done it. A web search should give you some suggestions on how to try it. Good luck.

How old is she and how long has she been this way?

I have a pekin duck i think his wing is broke but i'm not sure he can not expand it is there anything i can do to help his wing he got attacked by a dog but he is ok other than his wing and a small cut