The Hebrew Bible, in Jewish use, is divided into three sections. The first two sections, known as the Law and the Prophets, were already set in canonical form in the Herodian period, before Jesus began his ministry. Only the third section, the Writings, was formally added many years later. That doesn’t mean, however, that individual books in that section were held to be unsuitable in any way. The first book in the Writings section is Psalms, frequently quoted in the NT, even though, as far as anyone knows, it had not yet been formally incorporated into the Biblical canon in the time of Jesus.
The Law (Torah): Genesis, Exodus, Leviticus, Numbers, Deuteronomy.
The Prophets (Nevi’im): Joshua, Judges, 1 & 2 Samuel, 1 & 2 Kings, Isaiah, Jeremiah, Ezekiel, and the Twelve (the minor prophets from Hosea to Malachi)
The Writings (Ketuvim): Psalms, Proverbs, Job, Song of Songs, Ruth, Lamentations, Ecclesiastes, Esther, Daniel, Ezra, Nehemiah, and at the very end, 1 & 2 Chronicles.