This is explained by the Malbim to this posuk in Tehillim who says:
ויהי בשלום סוכו, בירושלים ששם ישבו ההמון, שם היה סוכתו של ה', שהסוכה היא דירת עראי,
ומעונתו בציון, בציון שם ישבו המלך והסנהדרין וכהני ה', שם היה מעונתו בקביעות כי שם היה מקדש ה' :
That the usage of sukkah in this connotation is the congregating place of the entire mob of people, both men and women. There is no order to it and all are mixed. That it why it refers to the whole city of Shalom (related to completeness, shleimut and also to Jerusalem).
But with the Ma'on, there is a specific order and arrangement. In that place are all the leaders (the King), and the Judges (the Sanhedrin), and those who administer to G-d (the Kohanim). They sit in a specific and desired order. It is referring to Har HaBayit.
This change to the feminine is relating to the concept that in terms of the system of the sephirot, the side pertaining to Gevurah, which is about judgement, discernment, division, etc., is associated with the specific, arranged places for everyone.
This same principle is emphasized in the Zimone of Grace after the meal for a wedding where the leader says:
נברך אלקינו שהשמחה במעונו שאכלנו משלו
This usage of Ma'on is to emphasize that in this special meal, the men and women are careful to sit separately, in the proper, fixed order.