If she can be baited by Trump so easily, I would not much count on her prospects in what will eventually be a very dirty fight. Not only did the DNA test antic expose that she is not Native American to any considerable degree but it also prompted journalists to dig into how she got her Harvard law school job and thereby prevented other minorities from applying. Its such an avoidable episode if she had done nothing.
I don't think Liz has learned the golden rule of dealing with Trump, which is "Don't wrestle a pig in the mud. You'll only get dirty, and the pig will like it". The trick is to stay positive and focus on policy and how it will improve the life of citizens, then allow your acolytes to chip away at Trump while you keep you nose clean and forward looking.