Please provide some evidence that one can go over the judge's head or sue somebody
Looks like you're just making things up.
Courts have Human Resource departments like many other organizations. Ie.
Maryland Courts Human ResourcesHillary Clinton was selected because the child rapist was demanding a woman attorney. Hillary Clinton could have escalated the matter to HR and filed an ethics complaint, or she could have complained that she was being singled out to do something undesirable based on her gender. Gender is a protected class. This could be construed as sexual discrimination.
If that didn't work judges can also be sued for administrative decisions. They are not immune from that.
https://www.findlaw.com/legalblogs/law-and-life/can-i-sue-the-court/Can I Sue the Court?
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Judges also do not have immunity regarding administrative decisions like hiring and firing court employees, and their immunity is limited when acting unconstitutionally.
Clinton was a public defender working for the court. Appointing employees falls under the same umbarella as hiring employees and is an administrative decision. The judge could have been sued.
She could have also simply quit. Nothing was actually forcing her to represent a child rapist.
As a defense attorney you are demanded to defend your client to the best of your ability. What do you think public defenders do all day when appointed to a case? Are all public defenders who believe their client is guilty immoral for defending them?
There are professions that involve doing immoral things, yes.
This all in the constitution:
Sixth Amendment
In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial jury of the State and district wherein the crime shall have been committed, which district shall have been previously ascertained by law, and to be informed of the nature and cause of the accusation; to be confronted with the witnesses against him; to have compulsory process for obtaining witnesses in his favor, and to have the Assistance of Counsel for his defence.
And as the prosecutor said in the case, "Once Clinton was assigned, Gibson said, she had a legal obligation to represent Taylor to the fullest, and she did."
The constitutional amendment is in regards to the state's responsibility, not her personal responsibility. She could have refused or quit without breaking the law. The state cannot refuse.
None of that makes it moral to represent someone who you believe to be a child rapist. None of that forces her to represent a child rapist. She willingly represented a child rapist who she believed was guilty.