It matters a lot if the authority is big enough that a random militia cannot topple them. A lone village can be raided with impunity, id the village is a part of a big country then soldiers will move in to protect them.
There is no reason to have such a small authorities. Anarchic societies managed to maintain armies strong enough to deter state actors. It comes with some small sacrifices, but it's still much better than otherwise.
In practice, your village can come to an agreement with other small villages and do military exercises together while still maintaining autonomy, and you can then maintain complex weapon systems and large armies.
