Gynarchy is never going to be a worldwide movement. Of course everyone enjoys a fantasy, and imagining a future civilisation called when-everyone-agrees-with-me is particularly popular, and even has its own utopian genres.
But let’s get real a moment. Even if everyone did agree with you, there’s still the problem of children. Children get left out of any utopias with sex on the mind for very good reasons. Are future Women going to be content to see their sons grow up into slavery? i doubt it.
So how much is realistic?
There is no reason we could not (now) have a worldwide Gynarchic subculture into which consenting adults could choose to admit themselves. If it worked properly, Female members of the Gynarchy would presumably choose never to leave, and male members could not leave. That much would be a clear condition of entering in the first place. you choose your path; you take responsibility.
How does it work? For a male, with an apprenticeship. Two years as an acolyte; his labour freely available to any Female member. Then, his devotion proved, he is given the option to offer himself permanently to the cause, or to pull away to a normal life, chastened but knowing himself better.
If he chose to continue, he would become a ‘drone’, a collectively-owned servant of the Gynarchic Sisterhood. All his property, all his income, would become Theirs. From this income and property the Gynarchy could fund the living arrangements of its drones. they would live frugally, but as true servants of Women as their souls desired.
The new drone would be filmed, photograped, pleading for slavery. he would write letters; confessions. Records of everyone he has ever known would be taken. his emails and phone calls would be controlled by the Gynarchy. his body would be marked. It would be enough to hold him true to his oath.
Any drone may be claimed as a personal slave by a member of the Gynarchic Sisterhood, and kept for so long as She chose, or returned to dronehood. Perhaps for the rest of his life, if he didn’t measure up. Nothing beautiful can be created without sacrifice.