I dont feel like I can state on my profile that I dont see asian men as this just makes me look like a racist fool. My heart does sink when I see anyone who isnt white at my door though, especially if their profile name has been John Brown and they introduce themselves face to face as Mohammed Ali.
They do this to try to combat racism, obviously; I'll quite often get an email that's signed "Al" or something via my contact form, but once I respond to his given email address and then his response is from his own email service, it shows that his full name is perhaps of Indian origin or whatever.
The thing that I would ask is: Why are they at your door without you knowing anything about them? If you've spoken on the phone and he sounds completely lovely then you know, whether or not there's an accent or an Asian/white/black/Chinese/anything name, that he's probably going to be a really nice client. And even if he turns out to be a white English John Smith bloke, you still need to be sure that he doesn't sound like a rude titface on the phone before meeting him.
As I've probably said above, I only judge potential clients by their manner and their ability to communicate effectively, politely and respectfully. This means I (touch wood!) weed out the idiots and weirdos, who are of a variety of races just as the lovely guys are. So basically, I don't really worry about being racist because I know that my screening is just for respectfulness. Are people actually taking text/email bookings without taking a confirmation phone call too? Or accepting bookings even if the phone call is from someone who sounds rude or disrespectful? I just can't think why you'd need to put anything on your profile about your restrictions for anything except "Be polite and follow my booking procedure respectfully or I won't see you. The end."
Unless you've got on-site security and/or work in a parlour, you really need to know exactly who you're meeting well before he's at the door.