Analysis of the Sentence
1. Identify the relationship: The sentence establishes a Contrast and a clear Cause/Effect related to the judge's communication style.
- Cause of confusion: The judge would "lose her audience" by "Couching her response in legal-ese" (technical, difficult language).
- Effect of regaining focus: The audience would "only regain focus once she had
______ delivered the verdict."
2. Determine the required meaning: To cut through the confusing "legal-ese" and bring the audience back, the verdict must be delivered in a manner that is clear, decisive, and absolute-leaving no room for doubt or confusion.

Evaluating the Options
The two correct answers must be synonyms meaning clearly and decisively.
- A. irrevocably: Done in a way that cannot be changed or reversed. (Focuses on finality, not clarity of speech, so it's a weak fit).
- B. inequivocably: In a way that is clear, plain, and unambiguous. (Strong Fit - Focuses on clarity/lack of doubt).
- C. cryptically: In a way that is mysterious or obscure. (Opposite of the needed meaning).
- D. categorically: In a way that is unambiguously explicit and direct; absolutely. (Strong Fit Focuses on decisiveness/directness).
- E. tentatively: Subject to further confirmation; not definitely. (Opposite of the needed meaning).
- F. magisterially: Having or showing great authority. (Focuses on authority, not the clarity that solves the "legal-ese" problem).

The words inequivocably and categorically both describe a manner of delivery that is direct, clear, and unambiguous, thereby cutting through the prior confusion caused by the "legal-ese."

The correct answers are B. inequivocably and D. categorically.