I haven't watched the Judge Judy show very much, but it seems like every time I've seen it, she was an irrational bitch who arbitrarily took one side or the other before any testimony was given, and spent the entire "trial" doing nothing but browbeating the other side, calling them a liar, and mocking them.
She shows no capacity for logical reasoning. Several times I've seen the person that she decided to hate trying to explain that she was missing something, making an unwarranted conclusion, or assuming something for which there was no evidence; it was obvious to me that the person was right, or at least plausibly right, but Judge Judy just dismissed their good arguments with contempt and insults.
I shudder to think of myself coming under the power of such an irrational, hostile self-righteous harridan. If I ever get sued, I expect that will be a powerful motivation for settling out of court. Just in case Judge Judy is a typical judge.