You'd be hard pressed to change either the species or a culture to see a bearded lady in the grocery store and not immediately realize that she was unusual. I think it is entirely possible for people to see her in the shop and not _care_ that she is unusual. When they see her holding hands with a man they do not feel revulsion or question what must be wrong with the man to select her as a mate. If the bearded lady generally possesses the traits pleasing to you, you should not feel bad in any way for being attracted to her or have any more hesitation to pursue her than you would a 'typical' female. If she is your superior, you should not question her ability to be your boss on account of her atypical traits.
Basically, the fact that a person has an unusual trait has no intrinsic value, it only matters when it is applied to something relevant. If you think bearded ladies are just physically very unattractive, this information only has any weight when deciding if you should try to get her number. After you resolve that, her beard goes back tot he useless info pile. If you don't like being around her, it will be because she is annoying or smells bad. If you like working with her, it is because she performs her tasks well and is pleasant company. Her beard never makes the list of things you base decisions on, even if that stupid motivational poster in her office that has the talking cat on it does.
Oh....well that makes sense.