[jigwashere]

The plastic protector you add should minimize the appearance of the scratch. After cleaning the screen and applying the screen protector, re-evaluate the screen after a few days. It sometimes takes a day or two for a screen protector to "settle down." I'm making a wild guess, but perhaps a screen protector with mild adhesive backing rather than one that simply uses static cling will work better to minimize the appearance of the scratch.

Good luck!