Dr Choo said when she encountered this, she would tell potential patients: "I understand your viewpoint. I trained at elite institutions and have been practising for 15 years. You are welcome to refuse care under my hands, but I feel confident that I am the most qualified to care for you."
She said those in need of care would "invariably pick the intern, as long as they are white", or simply leave and refuse treatment, news.com.au reported.
Dr Choo said she found it "breathtaking" that some people were so wedded to white superiority "that you will bet your life on it".
She said rather than getting angry in these situations, "I just show compassion and move on."
"I figure the best thing I can do is make sure their hate finds no purchase here," she wrote.
Dr Choo's Twitter thread has been shared more than 15,000 times online.
Violent rallies erupted in the US over the weekend where a disparate group of white supremacists, Neo-Nazis and alt-right nationalists converged in Charlottesville, Virginia, to protest the removal of a statue of Confederate general Robert E Lee.
The rally inspired counter-protests in Charlottesville and elsewhere in the US including outside Trump Tower in New York City.
The violent Virginia protest resulted in the death of Heather Heyer, 32, who was rammed by a car driven by an accused Nazi sympathiser. At least 19 others were injured.
US President Donald Trump, under pressure to explicitly condemn the rally, on Monday denounced racism and slammed the Ku Klux Klan and Neo-Nazis as "criminals and thugs".