In terms of philosophy you are absolutely correct:

ANARCHY means no ruler, you do not have any ruler but neither you are your own ruler. on the other hand you should call yourself an AUTARCHIST.

AUTARCHIST means you rule only over yourself.

in practical terms, we, the anarchist use this term because most of the free thinkers identify themselves with anarchy and very few even know the term of AUTARCHISM or they confuse it with AUTOCRACY which is the complete opposite. however no matter the word you use to identify yourself, you are a free thinker and this makes you a great person who loves freedom.