Noun
(euphemistic) A child who is particularly difficult to raise or educate, especially due to a lack of self-control and disruptive and antisocial behavior.
(idiomatic, by extension) Someone or something persistently difficult or vexing; a frequent source of trouble or annoyance.
Source: en.wiktionary.orgNelson put out the album ``God's Problem Child'' last April 28th. Source: Internet