The one thing I can foresee as being a problem with her is that she won't be able to normally wash out her face like other waterfowl using her nostrils. That might cause eye problems and what not down the road, respiratory illnesses.
With her, especially when older, I'd just make sure she always has clean water in which to dunk her entire head. They should have that anyway, but for her it will be especially important to get the water into her eyes.
It may be that she has sinus deformities because of the region of her deformity. But of course, I'm a sucker for special babies, and I'd probably just raise her and since it's from birth see if she even ever notices that she's different!
I had an adult goose who had a major deformity (or scarring from a wound) of his bottom beak. I bought him that way. He couldn't graze, but he was able to eat grains if I made sure that they were really deep in the pan. He died to a predator, not beak problems. Geese are tremendously resilient, so who knows.
I just wouldn't breed her.