It looks like maybe one Warren critic raised a stink about it, and every mainstream press article quotes him and a lot of Republicans who are piling on. But funny thing: Nobody bothered to ask any Native People chiefs or political leaders! They all pretty much support Warren because she has been so supportive of tribal interests in her career. Most of them are proud of their heritage and honor anyone who discovers their own Native ancestry.
I bet the only real objection anybody has to DNA comes from tribes that are kicking people out so the can boost their casino checks! They are afraid that DNA tests could admit more people to their tribe, but of course Warren is NOT claiming that at all. And now, because her test backs up her stories about her family history, it just makes all of Trump's mocking horribly racist!
Personally, I think her face does show some Native ancestry, but I'm quite familiar with mixed-race people's appearances. (Because I am one, and I'm married to one. )