gynarchy (n.) Look up gynarchy at Dictionary.com
"government by women or a woman," 1570s, from Greek gyne "woman, wife," from PIE *gwen- "woman" (see queen) + -arkhe "rule" (see archon). Synonymous gynaecocracy (from Greek gynaikokratia) and gyneocracy are attested from 1610s; gynocracy is from 1728.