Zymotic, those ‘eyes’ are actually a piece of armor (they are placed in the helm slot) and are hideable/unequipable upon entry into the game, like Mhaeric said.
Your eyes are still the ones you customized underneath the bright red markings and glowing eyes. You also have the option to choose a skull mask, or bright blue glowing eyes as an Asura necromancer.
To go into further detail.. when you enter in to the game world for the first time, hit ‘H’ (or your character screen hotkey of choice.) The very top piece of gear on the left will be that helm (the eyes) you’re seeing, and you can uncheck the box, or simply unequip the piece of armor itself. This will restore your eyes to normal.