Final answer:
The English defeated the French in the Battle of Agincourt during the Hundred Years' War, which is the correct answer to the question posed.
Step-by-step explanation:
The English forces defeated the French in several significant battles during the Hundred Years' War. However, the answer to the question which specifically mentions an English victory is the Battle of Agincourt. This battle, fought on October 25, 1415, was a major English victory against a numerically superior French army. Notably, the Battle of Crécy was also a major win for the English, taking place on August 26, 1346.
The Battle of Hastings, which occurred in 1066, was not part of the Hundred Years' War, but rather the Norman conquest of England where William the Conqueror defeated King Harold II of England. The Battle of Orléans, took place during the Hundred Years' War, but it was a French victory, not an English one, and it marked the turning point of the war in favor of France, largely due to the efforts of Joan of Arc.