I may as well throw my two cents worth as a Catholic ex-Protestant.
As far as I understand the debate, the Catholics, Protestants and Orthodox all have varying numbers of Old Testament books,
but the same number of New Testament books. There's a Wikipedia link giving some details, with a quote following. In other words, the Scriptural bun fight is about Old Testament books, which means if we're going to declare which OT books are inspired, we're wandering into Jewish Scriptural territory.
They themselves didn't actually declare which of their own books were "inspired" until the challenge of Christianity meant they had to respond to the Christian claim that the Jewish Scriptures were also a part of their heritage.
In a sense the council of Trent was like that - the Council found that books that had been canonised centuries before, and accepted by tradition for centuries, now had to be formally reaffirmed in response to the Protestant challenge, when they threw out the seven "apocryphal" books. It was a reaffirmation, not an initial declaration. The Catholic Church had decided which books it would include in its canon over a millenium earlier.
Books of the Bible - Wikipedia
As a Protestant turned Catholic, I find that somehow when I read the Deuterocanonical Books (Apocrypha to Protestants), they just don't seem to have quite the same "spiritual" sense as the other OT books. I find it difficult to put my finger on it, but that's how I feel.
As for the extra books included by the Orthodox churches, I've never read them.
Now for the the definition of "inspired", just what is it?
I've never even perused the Bhagavad Gita or any of the Hindu Scriptures, let alone read them. Yet Robert Oppenheimer, on witnessing the first atomic bomb blast, which he'd helped to create as part of the Manhattan Project, muttered a line from the Bhagavad Gita...
“Now I am become Death, the destroyer of worlds”.
No doubt the Scriptural hard liners will disagree, but I think God was speaking through that verse, to mankind come of age, giving an inspired warning.
"If you don't change, this is what you will unleash upon the world."
In that context, at that particular time, that particular Hindu quote was
inspired.
