Here are what two Chinese women I'm corresponding with said when I asked if they were seeking a White foreigner or an overseas Chinese.
Compared to white foreigners, I prefer to overseas Chinese. You know, as Chinese, we can exchange our ideas each other well through Chinese. What do you think of it? By the way, could you speak Chinese or read Chinese? If you can, we can chat in Chinese in the future.
I think a person's temperament and nature are more important in finding a future husband. If I must choose one between western and asian, I think an asian man should be more compatible. But I am flexible on this issue, I hope my future husband understand and love traditional Chinese culture.