The very first review I see at Amazon (Kimberly) is saying "Book's main premise is an erratic, non-peer reviewed assertion". The said review is detailed and has cited multiple references. I don't know what to conclude. Advice would help.
You should not let one review stop you from reading Barrett's book. The subject is highly fascinating and important since much of our lives are ruled by emotions and feelings. I note that the review is from one "emotion researcher" who might be focusing on finer nuances which might not be relevant for a initial broad understanding of the topic for a general audience. Also the reviewer quotes Paul Ekman (i got introduced to this subject through his book Emotions Revealed) who has had his own research questioned - https://en.wikipedia.org/wiki/Paul_Ekman#Criticisms. Nothing is set in stone here; marrying Social Psychology to concrete Neuroscience is a very difficult endeavour so an exposure to all viewpoints should be sought out.