matriarchal

Of or pertaining to a matriarch or to matriarchy; relating to the superior importance of mothers (in certain respects, as the reckoning of descent) in a family, clan, or tribe; characterized by matriarchy.

Of or pertaining to a matriarch; governed by a matriarch or matriarchs.

Governed by (or as if by) a matriarch

Governed by females, rather than by males.

characteristic of a matriarchy