Link to study:
Barry, John A.; Liddon, Louise; Walker, Robert; & Seager, Martin. (2021). How therapists work with men is related to their views on masculinity, patriarchy, and politics. Psychreg Journal of Psychology
This study found that male-friendly therapists are less likely to be feminists, less likely to accept ideological beliefs about the patriarchy, more likely to believe that their original training was not male-friendly, and more likely to believe that masculinity is not "just" a social construct.
Another key finding is that therapy dropout rates among men (which are higher than women), and reluctance to talk therapy in general, are likely being caused by the perception that therapists are left leaning and support feminism. Since men are more likely to lean conservative, and to reject feminism, this poses a threat to what's called the therapeutic alliance (which is basically how well the therapist and the client get along together).
It is however not true that most therapists are feminists. While this study did find that therapists leaned sightly left on average, most therapists and psychologists reject feminism, patriarchy theory, and masculinity as "just" a social construct. Despite the popularity of feminism in the social sciences, the field of psychology has long eschewed feminist ideology in place of evidence based science.
This study also suggested that focusing on feminism, patriarchy, and masculinity as a social construct, reduces the amount of control that male patients have over their thoughts and feelings, which contributes to a sense of helplessness. This is opposite of what therapy usually tries to accomplish, so the use of these ideological dogmas in therapy with men is highly questionable and goes against established principles in psychology and therapy.
As a result, the latest APA guidelines about men and masculinity were questioned, as was the use of patriarchy, privilege, and "power imbalances" between men and women in therapy. In particular, it was found that couples therapists who tried to view gender and relationships through feminist ideology were significantly less effective than therapists who used "evidence based therapy" which rejects those views. Further research into this and related topics was suggested by the researchers.