Like most social movements anarchism is diverse. Most broadly an anarchist seeks out and identifies structures of authority, hierarchy, and domination throughout life, and tries to challenge them as conditions and the pursuit of justice permit.
Anarchists work to eliminate subordination.
They focus on political power, economic power, power relations among men and women, power between parents and children, power among cultural communities, power over future generations via effects on the environment, and much else as well. Of course anarchists challenge the state and the corporate rulers of the domestic and international economy, but they also challenge every other instance and manifestation of illegitimate authority. If anarchism means mostly the former, good people will admire and gravitate toward anarchism. But if anarchism means mostly the latter, then good people will have reservations or even be hostile to it. Folks holding these views presumably see that contemporary state's use of force and rule to subjugate the many, and deduce that this is an outgrowth of trying to adjudicate, or legislate, or implement shared aims, or even just to cooperate on a large scale, per se, rather than seeing that it is instead an outgrowth of doing these things in particular ways to serve narrow elites and what we need is to fulfill the functions more positively.