Democracy (Miriam-Webster):

1 a: government by the people; especially : rule of the majority b: a government in which the supreme power is vested in the people and exercised by them directly or indirectly through a system of representation usually involving periodically held free elections

Let's be very, very clear here. The rule of the majority is a big part of "democracy" but it is not synonymous. And I'm going to detail why majoritarian rule is a stupid idea, and what distinguishes liberal democracy, and particularly our federal democracy, from majoritarian rule.

The Senate is nonmajoritarian. Majority-minority congressional districts are nonmajoritarian. The requirement that supermajorities of states are necessary to change the constitution is nonmajoritarian. And the primary conventions are nonmajoritarian.

This does not mean they are undemocratic.