Is it wrong that I'm worried about the Chinese person who's starting to cough beside me on the bus?
Why are you worried about them exactly?
I'm afraid that I will catch a cold from him.
You'll most likely not catch a cold from the guy if he's coughing to himself, but if it really bothers you then you should move away. The fact that he is Chinese should have nothing to do with this conversation either, and comes across as racist which isn't a good thing to be.
I should talk to him about this. I don't want to sound racist but it's a concern. I think I'm going to leave him alone, who knows he coughed all over my area.
Next time don't bring up the fact that someone is Chinese when talking about them like that. It's irrelevant and doesn't mean anything when it comes to the story.