Mugshots spread quickly because they are public records that automated scrapers...

https://bizzmarkblog.com/how-do-i-push-a-mugshot-result-down-in-google-without-paying-a-scammy-fee/

Mugshots spread quickly because they are public records that automated scrapers pull from sheriff websites to populate high-ranking private databases. While you cannot "delete" the internet, you can start by addressing the source