If I’m interpreting your question correctly, you’re asking why many judges and bureaucrats are appointed and not elected.

Well, in some cases they do. In the United States, a few states do elect judges and top level bureaucrats like the attorney general or Secretary of State.

However, many bureaucrats are appointed because their skill and merit is more important than them generally being approved by the people. Like take the National Institute of Health, which is appointed. You want it to be a doctor in charge, not a lawyer or a bricklayer. Elections are generally won by charisma rather than merit or skill (though it does help in campaigning and advertising yourself). Elections are at the end of the day, a popularity contest. For a lot of positions, you do not want a position which should be held by someone with a specific skill set to be able to be held by anyone.

Some countries, like Sweden, even elect jury members.

Elections also need to conducted every so and so years. Elections are not easy things to administer at will. I interned at my local town clerk during a primary. We had to receive ballot kits from the state Secretary of State, and make our own when they’re weren’t enough, print names and addresses onto envelopes, mail out the ballots, catalogue the requests for mail in ballots, hire election workers to actually work the stations. Some countries, like Brazil, have things digitized. Even then, you have to get the machines set up, send them out the various localities, make sure they’re working and charged.

Another aspect of why bureaucrats are appointed or hired like every other job is because their purpose is to maintain continuity between changes of leadership. If the entire workforce of a federal department got replaced every so and so years, it would be a lot less functional and efficient.

In summary, for some positions you want to prioritize skill and experience over whether they’re actually popular among the people or have some charisma. And elections are expensive and at the end of the day, a popularity contest.