Does anyone's newborn side sleep?

Erin

FTM of a 4 day old. 😬 I know the rules of back to sleep and I am a rule follower! My babe LOVES to get her left arm out to self soothe but she has no gross motor movement in her right arm right now due to shoulder dystocia. She seems to be rolling herself on her side by swinging her legs in the swaddle, and I'm sure her lack of movement on one side doesn't help to keep her evened out. Anyone else's baby end up side sleeping on their own? Did you do anything to keep them flat? I'm so worried if she rolls she can't roll herself back. 😣