This is a good question. As I am sure you are aware, the Word of God enjoins us to judge with “right” judgment (the mind of Christ).
How is this “mind of Christ” given to the Church? Jesus showed the disciples how to understand the OT:
Luke 24:27
7 Then beginning with Moses and all the prophets, he interpreted to them the things about himself in all the scriptures.
The Apostles committed this to their successors, the Bishops:
2 Tim 2:15-16
15 Do your best to present yourself to God as one approved by him, a worker who has no need to be ashamed,
rightly explaining the word of truth.
The teaching authority, and the mind of Christ, resides in the One Church, founded by Christ. The Holy Spirit protects this once for all deposit of faith.
Matt 28:18-20
“**All authority **in heaven and on earth has been given to me. 19 **Go therefore **and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, 20 and teaching them to obey everything that I have commanded you. And remember, I am with you always, to the end of the age.”
Whenevery we see a “therefore” in Scripture, we need to look and see what it is there for.
This “therefore” is a reference back to the premise upon which the following actions is based. The Apostles are commissioned with the authority of Christ. They exercise this authority to build up the Church.
Titus 2:15
5 Declare these things; exhort and reprove with all authority. Let no one look down on you.
So to answer your question the teaching authority put in place by Christ is exercised authoritatively over the Scriptures, which come from the same Source.