I recognize my own bias here, though. I think there are serious flaws in the China Study where Campbell reached beyond where the science illuminated. Teicholz isn't trying to prove a conjecture in the same way, so she isn't forced to do that (I think Robert Ludtig and David Perlmutter both did the same thing, so it's not just a function of vegetarian or not).
Edit: I say read them both and decide for yourself. Don't accept either of their conclusions, but follow the science they reference and evaluate it for yourself.
Here are some reviews of Nina Teicholz's shoddy work.
http://carbsanity.blogspot.com/2014/05/no-big-surprise.html
http://carbsanity.blogspot.com/2014/05/book-review-big-fat-s...
But Teicholz just follows in Gary Taubes' footsteps. See the numerous problems with that journalist's interpretation of health and dietary science beginning here: