Anarcho-Monarchism might seem like the ultimate contradiction.
Philosophically speaking, anarchism has a strong anti-democratic tradition that, far from seeing anarchism as being democracy carried to its logical conclusion, is actually far closer to being instead aristocracy universalised. Monarchy can be reinvented as a concept to serve a distinctively libertarian ethos, if one can see in the monarch a symbol of sovereignty that is reflected in the absolute sovereignty of the free individual. The word 'king' is derived from the word 'kin' - so kingship denotes kinship, the king or queen being a symbolic guardian of the people's freedom and self-determination. Thus handed down generation to generation, the monarch carries the genetic inheritance of the people in a bond of mutual co-inherence.
"What ideology did you say you follow?"
"What the heck is that?"