Earlier quoted context omitted.
So it's not a direct democracy but is still a democracy, specifically a representative democracy: https://en.wikipedia.org/wiki/Representative_democracy "Republic" is just a term to refer to a nation that is ruled without a monarch: https://www.merriam-webster.com/dictionary/republic Therefore, the two are not mutually exclusive.
Ok, but I wasn't referring to democracy as a general concept, because that's useless. Why not just say "people vote"?
If you actually meant a direct democracy, then you should have said it. Don't expect people to be able to read your mind and then get mad and snarky when they don't. We can only interpret what we read, so being specific that you mean a direct democracy when you say the word "democracy" in a political thread is really needed.