What should I do if the woman changes her surname in a foreign-related marriage?

That depends on whether you will change nationality with your husband.

If you want to retain China nationality, the general practice is not to change your passport, ID card or household registration book, or just add the column of "husband's surname". You can change it now or change it later when your passport expires.

If you want to be naturalized with your husband, you need to change your passport. You can change it directly, but of course you can't change it. It doesn't matter if the household registration book remains the same.

In Chinese and foreign laws, there is no compulsion for a woman to take her husband's surname after marriage, mainly depending on personal habits.