Why are political procedural rights sometimes in conflict with personal rights?

Responses

because the right to a fair trial can conflict with the defendant’s right to feel safe
because the right to a fair trial can conflict with the defendant’s right to feel safe

because the right to not testify can conflict with the right to free speech
because the right to not testify can conflict with the right to free speech

because free speech and press can be limited to provide a fair trial
because free speech and press can be limited to provide a fair trial

because the right to a jury trial can conflict with jurors' individual rights
because the right to a jury trial can conflict with jurors' individual rights

because political procedural rights prioritize the overall fairness and integrity of the judicial process over individual personal rights.