What does the Goddess of Anarchy hold dear?
First a quote: Noam Chomsky
At this stage of History, either one of two things is possible: either
the general population will take control of its own destiny and will
concern itself with community-interests, guided by values of
solidarity and sympathy and concern for others; or, alternatively,
there will be no destiny for anyone to control.
As long as some specialised class is in a position of authority, it is
going to set policy in the special interests that it serves. But the
conditions of survival, let alone justice, require rational social
planning in the interests of the community as a whole and, by now,
that means the Global Community. The question is whether privileged
élites should dominate mass-communication, and should use this power
as they tell us they must, namely, to impose necessary illusions,
manipulate and deceive the stupid majority, and remove them from the
public arena. The question, in brief, is whether Democracy and Freedom
are values to be preserved or threats to be avoided. In this
possibly-terminal phase of human existence, Democracy and Freedom are
more than values to be treasured, they may well be essential to
survival.”
Anarchy is not "everyone fight everyone". Anarchy means "no king" - no established standing power structures to command people. It means that individuals are not compelled to turn over decision making power to other individuals. Can I help my neighbor take in his harvest in an anarchist society? Of course. If my neighbors hear trouble on my property, can they come to my aid? Of course! But can the Boss tell me that I must go help take it someone else's harvest? No. I am the boss of me. I make my own decisions as I see fit.
The concept of anarchy is very cool and many aspects are coming to pass in the age of internet and individual enlightenment.
But the Goddess: Followers of the Goddess
/do pretty much whatever they want, meaning they live in a state of constant anarchy/
That does not mean they spend the days lighting each other on fire. They would starve. What most people want to do is fill their bellies, hang out with people they like and be left alone by the people they don't. People can still cooperate in an anarchy. If you choose to go around lighting children on fire, the Goddess of Anarchy is OK with that. But my neighbors and I will someday find out where you sleep. She is OK with that too!
Any system can devolve into some sort of a strongman system but you have a means to avoid that. You have a Goddess. She will prevent it.
As regards fighting wars, or building roads, or contributing to the common good, or any other endeavor for which we are accustomed to being told what we do by some central authority - be creative. How could a group of free willed but concerned individuals act together to achieve these ends? Anarchy does not mean no division of labor: if we are in a fight I can choose to follow the direction of strategists more knowledgable than me. The archers can organize themselves as they see fit, and so on.
Having a King gives up on the prospect that anarchy is the best way for people to live. A Goddess who is the embodiment of free will and autonomy would never allow it. Figure out another way. Also: it will be a cooler way.