To be fair to Picard, he kinda had to give the guy some level of demotion after the captains log for this shit reached star fleet command...
https://youtube.com/watch?v=F2H_OAIhrhU
"So....your transporter operator was married to a 12 year old girl?"
"erm...it was a transporter accident....very funny story actually even I got turned into gangly little..."
"Uhuh and also from the looks of it he....wait a fucking moment HE IMPREGNATED HER?!"
"thi....this was before the accident!"
"SHE WAS EVEN YOUNGER?!"
"....I...wait...."
"Jesus Fucking Christ if this blows up we all fucking go down for letting this shit happen on the flagship. Just demote the filthy irish pervert and dump him on a remote outpost on the edge of federation space, and we can pretend this never happened"