Can we see the whole house for context? The quick answer is no to cathedral shutters because the actual window is a rectangle. I can't answer as to regular shutters without seeing the whole house. If this is not the front please post a picture of the front as well as this wall.

I took old shutters down. Thought it would look better but now not so sure.

That's a big wall so I think the shutters do help fill some space. Paint them white this time.