If you don’t rent to people based on their race, you are racist.

If you are not trying to make money from your home then you are fully entitled to be racially selective in who you invite in as guests. You’re racist and an asshole, but that’s your right.

If however you ARE trying to make money from your home, but you only want to make money from selective races, then that is a problem. You shouldn’t be allowed to do so. Don’t hide behind your property’s private aspect when you’re debating an issue which frames your property as a business, and therefore, something in the public sphere, where your policies and attitudes can be judged.

Right now, you can’t be sued or whatever. But if you are caught being racially selective you should be banned from the site. You shouldn’t be allowed to be racist in the public sphere, which is where AirB&B are, website or not.