Chasing monsters

I am somewhat irritated by the fact that for my stories in general I have to decide on certain monster-species. These species seem to have clear characteristics and don't leave much room for interpretation. Take the story I posted: There's a demon in it. Now the origin of the word is greek and stands for a supernatural, malevolent spirit. But thanks to Pullman's Pantalaimon (and the movie) the word demon has gained the attribute of a being that is bound to a human.

I feel like I can't use the word demon unless it describes exactly the situation: being bound to someone by nature. But the demon I created is being bound by summoning. So it's not a demon then, right?