So Granville Sharp's rule has exceptions. This is one of them.
No it does not apply. In Titus God and Savior are describing Jesus. What is God and king describing in Proverbs? For the rule to apply God and king have to be describing someone. Read the rule again.
t disqualifies Jesus as being the God (ho theos), and Hebrews 1:8 can also be translated : To the Son He says: "God (ho theos) is your throne forever and ever..." which is more in context with the subsequent verse that God (ho theos), your God (ho theos sou), has anointed you with oil of gladness...
Both verses, three occurrences of theos carries the definite article [ho]. There is no ‘that’ in the equation. The use of ‘that’ would make both ‘theos’ in vs 9 third person. The Father would be pointing our some unknown as God. That would be polytheistic.
On the contrary, it was not the great God "who gave himself for us" in Titus 2:14, but it was "our Saviour Christ Jesus". Notice it is singular 'who.
Is that what Paul is communicating?
Titus 1:4 To Titus, a true son in our common faith: Grace, mercy, and peace from God the Father and the Lord Jesus Christ our Savior.
In Titus 1:4 the Father is identified as God, and Jesus is identified as Lord and Savior.
Tit 1:3 but has in due time manifested His word through preaching, which was committed to me according to the commandment of God our Savior;
Tit 2:10 not pilfering, but showing all good fidelity, that they may adorn the doctrine of God our Savior in all things.
In 1:3 and 2:10 the individual identified as God is also the Savior, or the individual identified as Savior is also God. Can the question be answered?
Tit 2:13 looking for the blessed hope and glorious appearing of our great God and Savior Jesus Christ,
In 2:13 Jesus is identified as God and Savior.
Do we have contradictions here? Is Paul being polytheistic? Or could there be another answer?
1:4 Father is God and Jesus is Lord and Savior,
1:3 and 2:10 God is Savior,
2:13 Jesus is God and Savior.
Reconcile.