Jesus was specifically Israel's Messiah and secondarily the savior (thru Israel) to the rest of the world.
New King James Version
But He answered and said, “I was not sent except to the lost sheep of the house of Israel.”
Their rejection of Him as the Anointed One caused them the loss of their temple, their ancestral homeland and dispersion into the world for 2000 years.
The meaning of
Christ is drawn from the Old Testament. God promised the ancient Israelites that a Messiah would come to deliver them from sin. The idea of the Messiah is carried over into the New Testament with the title
Christ. The Greek word
Christos, from which we get the English word
Christ, is the translation of the Hebrew term
Mashiach, which is the source for the English word
Messiah.
Mashiach, in turn, is related to the Hebrew verb
masach, which means "to anoint." Therefore, when the New Testament speaks of Jesus Christ, it is saying "Jesus the Messiah," which literally means, "Jesus the Anointed One."
Jesus Christ, Anointed One by R.C. Sproul