It's a U.S. Army Marksmanship Qualification badge, Sharpshooter level for rifle.

https://en.m.wikipedia.org/wiki/Marksmanship_badges_(United_States)

https://pic8.co/sh/711MtF.jpg

Here's the back side

No, it's pretend. You're just imagining it.

Put it up to your ear, if you can hear muffled kvetching, it's real.