Faceless isn't wholly accurate, between certain irl grimoires, the silhouettes in the affinity wheel and descriptions in game we can presume our player character is a goat.
I kinda thought those icons are just way mortals are giving shape to indescribable immortal creatures without physical body. But you may have a point. We'll have to be patient to find that out. Also, maybe it's just me, but I think it looks more like a serpent.
