Anarchy is liberal in the sense that it pursues individual's freedom not only from oppression but also to act in ways that enrich themselves. It does not require total chaos as it's detractors have tried to characterize it since the term was coined.

Anarchy is social in the sense it accepts human beings are almost always better off in groups and that society's goals should be for the betterment of all.

It is democratic in the sense that people come together to make decisions; although, consensus is perhaps a better descriptor. Democracy has an association with first past the post voting and decisions that bind those represented.

It is not a liberal social democracy as that tends to be used to describe a capitalist society with strong social programs, a beauracracy, and police state. They also tend to be supported by colonialism abroad or petrochemical extraction but I suppose that's not necessarily a requirement. I would agree that such a society is not anarchist.

Structure is not heirarchy. A collective farm is a structure just as much as a factory farm. An agreement where a farm exchanges food for labor, infrastructure, medicine, education, and tools from a city does not preclude anarchy. Either side breaking that agreement when the other begins acting in bad faith is not oppression or a police state.