Áedán is the Old Irish form of Aodhán. It'd be like calling your child
Medb or Aífe or Ériu (which would be like Æðelþryð in English); it makes no sense and is inpronouncable in Modern Irish. (The Modern Irish forms are Medhbh,
Aoife and Éire.) Please use Aodhán if you want the proper Irish spelling.