I agree with Exhuberant Islander. I think in this case the ¨Nasty Chinese women¨ would be a way of saying ¨Chinese women fighting against sexism¨ because the context is very specific to the way ¨ nasty¨was being used at the time. It was negating Trump´s intended negative meaning of ¨nasty¨ and instead using the more recent (but already used in some circumstances) meaning of nasty more similar to ¨ridiculously good.
The traditional role of women is to be quiet and submissive to men, and not to express anger, so feminists often are labelled ¨nasty¨ and ¨bitches.¨ In a women´s studies class years ago, I remember a discussion about which was worse, to be a ¨doormat¨ or to be a ¨bitch.¨ If those are the choices, ¨Nasty women¨ would rather express anger and risk being seen as a ¨bitch¨ than staying quiet and being walked all over. Here is an article written around that time with the same dillema https://www.psychologytoday.com/blog/the-couch/201611/nasty-woman-angry-bitch-or-confident-competent-female In it she addresses that the Trump/Clinton campaign highlighted the problem of expressing anger for women.
Last month, several dozen Chinese feminists joined the Women's March in Washington, holding slogans like "Nasty Chinese women say NO", "We demand feminist world leaders", and "Sexism is a disease. Feminism is your cure".But many of those social media users on Weibo see it a different way. Tiffany Trump's endorsement of Tao Wang is a chance to showcase<font face="宋体">展现</font> a Chinese woman trumpeting her own creative business on the global stage. And many see that as a kind of triumph.<o:p></o:p>
Can you give us more context? (more about the situation and what was said right before this?) Nasty is a word that traditionally has a negative meaning. However, it has another more recent slang meaning that is good.
Here are some of the definitions from the Urban Dictionary: