"Democracy" just means "government by the people". That's why we have different types of democracies, to tell them apart.
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.
Dude you can debate until you're blue in the face but in the end, it's called a representative democracy for a reason. That's an accepted term in politics.
We have given you all the actual definitions on these terms and they show clearly that you're wrong. Just admit it and stop arguing this pointless debate. It's not that hard to do.