Cor Ecclesiae is a Catholic Studies roundtable watching Pope Leo’s papacy form in real time. It has the cadence of a seminar, not a sermon. The conversations are attentive to Vatican language, but they keep returning to the pressure points where that language meets public power. Iran, President Trump, ceasefire hopes, military conscience, and the politics of peace sit beside synodality, clericalism, and women’s ministry. That mix gives the show its shape. It treats the church as an institution with memory, habits, and limits, while also asking what kind of moral actor it can be in a volatile world. Pope Leo is not handled as a symbol only. The panel considers his strategic choices: when he names Trump, when he works through intermediaries, when he travels, and when he stays away. His decision not to visit the United States in 2026 becomes a way to discuss democracy, national symbolism, and the difference between John Paul II’s Poland and Leo’s American context. The same analytical patience appears in discussions of church governance. Francis, Benedict, John Paul II, the Council of Cardinals, the College of Cardinals, and synodal structures become part of a running argument about inclusion and authority. The show can sound inside-baseball, but the stakes are plain. Who speaks for the church? Who is invited into discernment? How does doctrine develop when lived reality is moving faster than official permission? The episode with Colleen Dully brings those questions closer to the ground through Vatican reporting, women in ministry, anguish, courage, and hope. Cor Ecclesiae is best suited to listeners who already care about Catholic public life and want a more deliberate treatment than headlines can offer. It is neither culture-war theater nor soft-focus spirituality. Its strength is the disciplined movement between event and tradition, between a papal sentence and the broader institutional story behind it.