I think you're fine.

You can eventually stop making such a big deal out of race when you've realized how trivial it all is. There certainly is a lot of bigotry, ignorance, and prejudice out there. But you shouldn't let that stuff get to you. Singapore is one of the most cosmopolitan places in the world. If you can't find a place for yourself there, then where?

Of course, moving to Singapore because of some arbitrary perception of race or ethnicity, seems very stupid to me.
Get your head out of your ass already. You're a human aren't you?

What the fuck do you need race for?