How to Get Laid in a Society of Empowered Women

You don't.

There is no dearth of sex in the society, they like sex as much as the next woman.  But due to a very busy schedule time effectiveness means that the woman needs a reliable circle of men frequently only one available on short notice for an evening of pleasurable activities leading to sex.  This implies a relationship well established to ensure that the evening will well spent, and the sex a reward for both partners.  Yep.  That nasty relationship word again.  One must respect the choices the EW has made and fit into the range of interests other than sex to make that evening enjoyable.  Even in hot social environments of conventions one can expect several hours or even days of common enjoyable activities, before the evening that includes sex.