Doesn't have to. It refers to him as God.
That is an interesting comment.
Scripture refers to humans beings being called God by God himself.
You consistently ignore Exodus 7:1 KJV, where God tells Moses that He made him a god to Pharaoh.
God calls Moses god. Does that make Moses "the God"?
Jesus Christ makes it clear that God has called those "unto whom the word of God came" gods
John 10:34-36 KJV
Therefore we must stop and think before we assume that when scripture refers to someone as god, that that statement implies more than intended. "god" is a title. A title that God confers to humans.
Titus 2:13 as it appears in the KJV is translated poorly.
It more accurately reads, Looking for that blessed hope the appearing of the glory of the great God, even our savior Jesus Christ.
Kai can mean "and, also and even" Here, to fit with the rest of scripture it must be translated "even".
Jesus Christ is the glory of the Father, even as any proud father would declare his son his glory.
Nehemiah 9:27 makes it clear that God has been in the habit of sending saviors to deliver His people.
God is the source of all salvation, but He is wise enough to delegate authority to humans.
II Corinthians 5:18-20
He has delegated to us the ministry of reconciliation and the word of reconciliation.
Who is supposed to do reconciling in the absence of Jesus Christ? We are.
That includes teaching people what it takes to receive the gift of salvation from God. See Romans 10:9-10
Titus 2:13 is poorly translated. It is not proof of your conclusion.