I sleep on my side too. With my face towards the wall.
I used to sleep like this
I also suffered from night terrors something vicious and my dad told me to try moving my bed and sleeping with the door in view, some sort of trick to make the brain feel more reassured or something I think he said
So pretty much...
How will you see if a monster enter the room if you face the wall!?
(It didn't really help though, I had terrible nightmares almost every single night until I was 15-16)