Along with the book, Jesus and John Wayne by Kristin Kobes Du Mez, these books raise a number of concerns about the biblical basis for the so-called complementarian position of men and women.
The Making of Biblical Womanhood does a good job of raising questions about how the social mores of one’s time influence the way one reads the Bible. Barr provides some interesting examples, especially from her area of expertise: the Medieval period.
All of us must wrestle honestly with how much our views are influenced by the socio-historic context (our own and previous periods) in assessing whether our views are consistent with the biblical record. This is a life-long process and one all of us will receive plenty of correction on in the next life! If Paul saw through a “mirror dimly” then we ought to be more circumspect about how clearly we see, especially with respect to the issues that thoughtful Christians disagree on.
This book does not purport to be a work of exegesis. As the good scholar that she is, Barr knows well that her main lane is history. That certainly does not mean that she has nothing of value to offer about the Scriptures. That is patently not the case.
I am in that small group of “left-leaning” complementarians (though I do not like the baggage that comes with the word complementarian). By that descriptor you will know that I didn’t find all of Barr’s arguments persuasive, but I am glad for the things that did make me think afresh about this issue. My own position is that women can teach both men and women as long as it is clear that they are under the authority of the church…something I wish was taken more seriously for men as well! Having heard many men who had no business preaching and teaching, I wish churches would be careful in vetting everyone.