The murderous David did not kill his arch-enemy, Saul, because he recognized Saul as the Lord's anointed (1 Sm 24:7, 11). David appreciated being anointed, for he also had been anointed as king by Samuel (1 Sm 16:13; Ps 89:21). Being the Lord's anointed held extreme significance (see Ps 133:2).
The Messiah is called in Greek "Christos," which means "the Anointed One." Jesus began His public ministry by quoting Isaiah 61: "The Spirit of the Lord is upon Me; therefore He has anointed Me" (Lk 4:18). Peter began to describe Jesus' ministry with these words: "God anointed Him with the Holy Spirit and power" (Acts 10:38). Jesus' title was "Christ," that is, "the Anointed One." Jesus' followers are called "Christians," that is, "the anointed ones."
We Christians have been anointed in Baptism and Confirmation. These anointings are even more important than the anointings given to Saul and David. We have been anointed as priests, prophets, and kings. Like Jesus, we have been anointed "with the Holy Spirit and power" (Acts 10:38). In Jesus, we can do even greater works than He did (Jn 14:12). Christians, "remain in Him as that anointing taught you" (1 Jn 2:27).