Can I Refuse to Show?

[Mike Chevalier]

I have a duplex in upstate NY, renting out the upper and living in the lower. We have minimum qualification standards in place and let everyone interested know about them. I know we cannot tell people not to apply for the apartment, regardless of if they meet this criteria. However if I'm pre-screening them on the phone and they don't meet the standards (by their own admission) but still want to see it, can I refuse to show them the apartment? Does refusing to show the apartment to them violate a fair housing law?