You are the man, your child will carry your family name and continue that lineage as 100% Chinese. Your wife marries to a Chinese makes her a family member of Chinese, not Korean.
This is partially joking but it is true in China not long ago. I still remember that my married aunts (father side) were not allowed to enter the family temple (祠堂) but my mother would be standing next to my father, because the wife is one of the family since marriage, the daughters are not any more.
Many Turks fought on the side of Tang dynasty against other Turks and Korea, Gao Xianzhi was a Korean but one of the greatest Chinese generals. Many troops of Qing were mongols fighting the rebellious Dzungar mongols. These people had received high regards in Chinese history. Not to forget that Tang's imperial family was mix of Han and Xianbei (proto mongols).
The key is who you make your Child to be. No need to force him/her to deny the other half, but cultivate the choice of being a Chinese of different background. There is no conflict of being a 100% Chinese while having foreign blood. Chinese isn't primarily defined by blood anyway. Think about it, what would a Chinese Korean (100% by blood) think, do and live if he/she is in your position? But of course, if your child grows up outside of China, you have very high risk of loosing the "battle", it is always the external environment shapes a person.
Finally, it is just a mind exercise of myself, take it as food for thought, but don't take it too seriously.