In the book of Acts, what was the core theological significance of the conversion of Cornelius (Acts 10)?

A It demonstrated the superiority of Jewish converts over Gentile converts. B It primarily highlighted the importance of baptism by immersion. C It signified God's acceptance of Gentiles into the Christian community without requiring them to become Jewish first, thus expanding the scope of salvation. D It was a one-time exception to the rule that only circumcised males could be saved.