Well, his still has one, (an actual nose), but my boyfriend has no sense of smell due to his having Kallman's Syndrome. He's gotten along okay for the last thirty-seven years of his life. He's great to have around to change my baby nephews' dirty diapers or take the trash out, let me say!
I suppose the person, if they didn't have a nose physically, would have some means of providing oxygen to their lungs either though their mouth or a tube or hole near where to nose used to be? I'm not sure, really, I've never actually put much thought into the subject but it raises some questions all right.
~Ami