Athenian democracy was groundbreaking primarily because it made politics the business of every male citizen, not just a few. This form of democracy allowed ordinary citizens to participate in decision-making processes, engage in political discussions, and vote on laws and policies, which was a significant departure from the aristocratic systems that preceded it.
Other points mentioned, such as women's involvement in the Assembly, were not a characteristic of Athenian democracy, as women were generally excluded from political participation in Athens. Additionally, the idea of a king being elected is not aligned with the principles of Athenian democracy, which was characterized by collective decision-making rather than monarchical rule.
In summary, the essence of Athenian democracy was its radical inclusivity of male citizens in the political process, marking a historically significant shift toward more participatory governance.