Gynocracy /(jĭ*nŏk"rȧ*sy̆)/

Gy·noc·ra·cy

Gynocracy

n.
  1. Female government; gynecocracy.
    The aforesaid state has repeatedly changed from absolute despotism to republicanism, not forgetting the intermediate stages of oligarchy, limited monarchy, and even gynocracy; for I myself remember Alsatia governed for nearly nine months by an old fishwoman.