Yes, you are not wrong at all. But in a democracy the members of state are the ones elected. A good and functioning democracy has all the features you speak of. India is not a good democracy, but for now it still is a democracy since the members representing the population on the governmental front are elected by the people.

The judiciary was never elected by the people nor is the media. Them being elected is what you would expect in a functioning democracy, but unfortunately that is not what defines the word.