Why are most Western Islamic converts women?

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Are there not surveys or documentaries on why western women choose to convert to "backwards" Islam? One could always simply ask them why they chose that religion over the one, if any, they were born into.

But beyond that, I can see why Islam in particular would appeal to women who were conflicted by western demands for ever-present female sexual desirability (woe to the women wearing hoodies and sweatpants in public) combined with sometimes-dubious notions of gender equality that themselves spring from sexism (magazine profiles on women in business tend to illustrate this).

Gender roles are clearly defined in Islam, but evidently in a way these women accept, and not in the stereotyped cowering-women-wearing-bags way that western people imagine.