Final answer:
Father André Coindre founded the Brothers of the Sacred Heart during the aftermath of the Napoleonic Wars in France in the 1820s, aiming to provide education and care for the young and poor.
Step-by-step explanation:
The event taking place when Father André Coindre founded the Brothers of the Sacred Heart was the aftermath of the Napoleonic Wars in France, specifically in the 1820s. This period was marked by social turmoil and a need for educational and religious restoration, especially for the young and the poor. Father Coindre began the order to address these needs, providing Christian education and care. Despite the information provided about Jeanne Córdova and the LGBTQ movement, as well as the wars and hospital events mentioned, none of those are related to the founding of the Brothers of the Sacred Heart by Father Coindre.