gynarchy

noun

1. (countable)A government ruled by a woman or women.

   “But I have always ſome hopes of a change under a Gunarchy ; where whim and humour commonly prevail, reaſon very ſeldom, and then only by a lucky miſtake.”

   “Though no ways anti-matrimonial, this faithful servitor was not particularly desirous of serving under a gynarchy, while on the other hand he was not destitute of feelings of gratitude for services rendered him by Miss Bud, which he endeavored to maintain consistently with fidelity to his master.”

2. (uncountable)Government by a woman or women.

   “They did not band themselves together for or against anarchy or gynarchy, monarchy or hierarchy, or any form of civil or religious government, but simply against slavery.”