One who opposes the state and all government control, whilst remaining socially conservative. Conservative anarchists oppose state coercion but do not necessarily object to a naturally occuring hierarchy in certain social situations, e.g. religious institutions.
Conservative anarchists might-
oppose abortion, drug use and pornography.
support a traditional family structure and gun rights.
Likely to be, but not necessarily, religious. Often Christian, taking inspiration from the Christian community in Acts.
Tend to favour property rights, but does not necessarily take a strong position. As such, conservative anarchists are not to be confused with anarcho-capitalists.