The answer is yes and no. Certainly the problems we help clients with are universal: anxiety, depression, loneliness, heartbreak, self-control, self-esteem, and more. But often these manifest differently in men and women, just as recent research has shown that physical ailments, such as heart attacks, manifest differently in men and women. Our psyches are no less different than our bodies.
For instance, Terry Real has written extensively about how men often experience depression differently from the classic description of lethargy, lack of pleasure, etc. He calls it “covert depression,” which may take the form of addiction, irritability, or violence rather than sadness, crying – in short, “overt” depression, which is indeed more commonly diagnosed among women.
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Note that this does not necessarily mean that women need female therapists and men need male therapists. Rather, it requires therapists to understand the differences between men and women and to recognize their different needs. A good therapist anyways understands that s/he has to put him/herself into the experience of another person which may be completely different from his/her own. That said, it is perfectly fair for you to choose a therapist of one gender or another based on your comfort. If you are a woman looking to discuss issues of sexuality, for example, it might just be more comfortable for you to speak to another woman, and that’s totally fine.
So, yes, therapy for women and therapy for men are likely to be different, and it’s important for therapists to recognize that. At the end of the day, however, who you choose to be your therapist should be based on their competence and your comfort level, not necessarily their gender.