Generally speaking, when addressing a mixed audience of Christians and Jews, it is polite to call the Old Testament “the Hebrew Scriptures” to avoid the negative connotations of the term Old Testament for non-Christian Jews. Since either term is accurate for Christians, a Christian who does not wish to unnecessarily alienate a Jewish audience might choose to use the term Jews oftentimes prefer. When a Christian is speaking to fellow Christians, he may prefer to use the traditional Christian term instead.
It is really a matter of prudential judgment: If you, as a Christian, are seeking to share your understanding of Scripture with a Jew, and you can, in good conscience, use a term that person prefers, then it is in the service of evangelization, not political correctness, to use the preferred term.
