“The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained _________.”

The word that best fills the blank in the above sentence is

The correct answer is undiminished.

Let's analyze the sentence structure and the context clues to determine the correct word:
1. The sentence contains a subordinate clause: "though shaken by false allegations of wrongdoing".
2. The conjunction "though" is used to introduce a contrast or concession. This indicates that the main clause will state something that is contrary to what might be expected from the subordinate clause.
3. The false allegations had the potential to shake or reduce the judge's standing. Therefore, the contrasting result in the main clause must mean that the judge's standing did not decrease, or remained unaffected.
4. Among the given options, "undiminished" means not reduced or lessened, which perfectly fits this contrast.

Let's evaluate the incorrect options:
- damaged: This would mean the standing was harmed, which aligns with being "shaken" and does not create the necessary contrast implied by "though".
- illegal: This is grammatically and semantically incorrect in the context of describing "standing".
- uncertain: While possible in other contexts, it does not provide the direct, logical contrast to "shaken by false allegations" that "undiminished" does.