It depends whether you judge people by the intentions behind their actions or the consequences arising from them (or both or neither I suppose). Hopefully anarchists intend to allow and nurture anarchic values, relationships, experiences, communities, etc. Likewise, hopefully anarchists also make reasonable attempts at doing everything in their agency to dismantle hierarchical power, distribute and discuss anarchic ideas and practices, and encourage others to realize their own and affirm them as they do so, culminating in some actual successes for anarchy in the real world.
Etymologically anarchy means both an opposition to, or a lack of rulers as a category (versus simply opposing the present rulers). To any thoughtful individual this obviously necessitates considering, "With what characteristics would I define ruling, and the opposition to it, and the lack of it, on individual and social levels?" We all might want to consider what practices distinguish between anarchists-by-intent and anarchists-by-consequence.
Whatever values you hold, I suggest orienting yourself around maximizing your impact in a responsible way and building relationships of solidarity, as well as applying a prefigurative praxis whenever possible ("freedom can't be given / you gotta take it / and make it your mission / to live every day like your vision of escapin' this system of enslavement to rich men / with actions and strategies / not wishful thinkin'" --"Police State" by Test Their Logik)
For a decent overview of dozens of anarchistic societies past and present, check out Peter Gelderloos' book "Anarchy Works" @ http://zinelibrary.info/anarchy-works-peter-gelderloos
. You can download a pdf version of it for free there, or, y'know, throw him some change and get a print copy cuz he doesn't get bankrolled by MIT like Chomsky.
P.S. You might want to consider why you write something like "under anarchism". Do you desire an "anarchism" over you?