You should be able to do so....Why stop there?
Why not prevent only baptised Roman Catholics?
Why not prevent only people who don't work on the Sabbath?
Why not turn away blacks or Jews?
I'm being serious. Where is line of absurdity draw here?
Why not just exclude everyone who isn't your faith?
You being the owner of an apartment building and wishing to rent only to those of your liking should be your business.