It's 2013. When a guy covered in swastikas says he doesn't want any dirty unclean brown people touchin' his perfect lilly-white daughter, the appropriate response is, 'Well, I'm sorry you feel that way, but your daughter needs medical attention and this is a nurse here to provide it, so kindly go fuck a cactus.' You should not be caving to the demands of racists.
Of course, it's entirely possible that saying something like that would've made the man just pick his daughter up and take her away and not let her get ANY medical treatment, so it might have been just the lesser of two evils.
But seriously. A black nurse being told she can't treat a patient just because she's black? This is 1960s Civil Rights stuff. Why is this happening in 2013?