It is the total lack of political analysis which is so tedious.
Does the OP actually understand what 'privilege' means in political terms? (It would appear not.)
We live in a male supremacy and within the current set up, there is no 'female privilege' as a meaningful political concept.
There is no counter binary female privilege. If one intelligently examines any so called advantages that women have in male supremacist society, one can conclude the following;
a) any 'advantages' that women as a class are perceived to have, are crumbs from the patriarchal table once things have been divided up to benefit men.
b) any and all of these 'advantages' could be withdrawn from women at the drop of a hat if those in power (men) decided that suited them.
c) most of these so called 'advantages' either exclude women from power and structural control, or when examined properly, exploit women (childcare, financial dependence, chivalry, decision making, ownership, workforce dynamics, war.)