Don’t worry about your racial background at all.I'm in Australia
Yes in my city there are a number of Orthodox churches, I looked it up a couple of years ago.
Not sure which one to go to as my racial makeup is....confusing. My parents are from a country where we look nothing like the people (and I mean nothing), and have ancestry from another country. I would fit in with those other people better, but I have no connection to their culture/language etc.
Visit the churches in your area to get a sense of the vibe. Some will feel like ethnic social clubs (many Greek churches can be like this but not all) but others will be very welcoming and probably have some converts from other backgrounds.
Some online research can help too. When I was looking for a church, some of their websites weren’t even available in the local language of where I live. Big red flag as being too ethnic focused. Online reviews can also be helpful. People wrote reviews of my church explicitly mentioning several nationalities attend services including local converts.