I think this book has two issues:
1. When it gets to the core of an issue, it explains it refering to a lacanian concept... without explaining it. That was not a problem for me, since I am a lacanian psychoanalyst myself, but to the lay person it will be meaningless. For example, the author explains that we all have to face castration, understood of a lack at the symbolic register... but she doesn't explain it. So the lay person may earn a new word that explains gender issue for cis and trans, but they won't understand any more than they did before.
2. I appreciate that she explains that the gender issue is for everyone, not just for trans ("I should add here that dealing with sexual difference, which also entails but is not limited to assuming one’s sexual and gender preferences, is a problem for everyone.”) However, there is a lack of explanation about how gender is construed in each case. We end up with gender as a sinthome (another concept, a bit more explained, but I would think also cryptic to the lay person), and not much of the reasons behind this claim.
I enjoyed the book since I have the background to understand it, but I think it lays in a middle that lacks power: either you really make it lacanian, and go with all the subtleties and really tackle the sexuation issue in his theory, or make it for a lay person, and explain these issues without relying in unexplained concepts.