All leaders of the EU are elected. Either by direct vote, vote of the member states, or vote of the member states with approval of directly elected EU parliament.
Not really, the commissionners are mostly unelected officials, and while the council represent the interests of elected head of state, those sieging are not always elected officials.
Granted, the commissioners do not have a lot of power (they have less effective power than the parliament as long as the subject isn't trade and economic competition) but still.
That’s an odd example, since she wasn’t even up for election, she was “nominated”. At least two German political parties complained about backroom deals and an undemocratic process.
She was proposed by EU Council and then elected by the parliament exactly as specified by the treaty:
> Taking into account the elections to the European Parliament and after having held the appropriate consultations, the European Council, acting by a qualified majority, shall propose to the European Parliament a candidate for President of the Commission. This candidate shall be elected by the European Parliament by a majority of its component members. If he does not obtain the required majority, the European Council, acting by a qualified majority, shall within one month propose a new candidate who shall be elected by the European Parliament following the same procedure.
Right, the people don't vote for the president. If the people are allowed to vote, people vote for change - Brexit, Trump.
The people have little influence in what is being forced on them. I suspect this will end with some EU member States going their own way, after the people demand it.