How do I get an abuse charge off my record?

Baltimore City child protective services charged me with abusing my stepson. I smacked him on the arm to get him to stop bothering the dog but it left a bruise and CPS said it was abuse. Apparently I had the right to appeal it but no one told me that and I missed the deadline. Now the charge is showing up on a background check for a new job I applied for. I told the employer what happened but they won’t hire me with this mark on my record. How do I get this child abuse charge off my record for good?