That would only happen if you/she used the Zicam spray or squirt up your nose. If the dissolvable tablets are used, the sense of smell is still in tact.

"The mechanism responsible for these alterations in smell function is quite clear. Zicam is a zinc containing drug. While zinc is critical for maintenance of normal smell function through its action as a cofactor in carbonic anhydrase VI, given directly into the nostrils at high concentrations, it can initiate direct toxic destruction of the olfactory epithelium with which it comes into contact in."

So basically, you will feel a burning sensation which is fromt he spray destroying your smell receptors. It doesn't happen to everyone.