Hmmmm. It is a common misnomer. We are factually a representative republic as our very Pledge of Allegiance to our flag states "and to the republic, for which it stands". We elect representatives to represent us. We (the people) do not decide issues, policy or laws governing this country, only electing those that represent (or more correctly, those we think will or should or might represent) us, whether they do or not us. Those people represent us to an extent, when they aren't having culture war food fights, posting on twitter, or pandering for money from their base, that keeps slopping the hogs at the national trough
If anybody disagrees or doesn't like it, they can write their representative in Congress, or complain to their elected Senator, in the Senate, the body that tempers the lower house of our Federal bicameral legislative branch of Government.