Confusingly means “in a way that is unclear and hard to follow.” You use it when something makes people mix things up: two names that look the same, a sign that points both ways, a rule that seems to say two opposite things. It often stands at the front of a sentence to warn the listener: “Confusingly, …” — as if to say, “this next fact will make you scratch your head.” It is about the thing that causes the muddle, not about the feeling inside your head. A page can be written confusingly; you yourself, if you cannot follow it, are confused. Teachers and writers like this word because it lets them admit the mess without pretending the tidy answer is tidy.