Select the correct option:

Her rebuttal, although polished, did not __________ the core issue raised by the opposition.

The correct option is address.

Step-by-Step Explanation:

1. Analyze the Sentence Context:
The sentence reads: "Her rebuttal, although polished, did not __________ the core issue raised by the opposition."
The word "rebuttal" refers to a response or argument aimed at disproving or counteracting an opposing view. The phrase "did not __________ the core issue" indicates an action that a argument/rebuttal failed to perform regarding the main point/problem.

2. Evaluate the Options:

• address: Means to direct attention to, deal with, or respond directly to a problem or topic. In this context, saying a rebuttal "did not address the core issue" makes perfect grammatical and logical sense, meaning it failed to directly tackle the main argument.

• depress: Means to make someone feel sad or to push something down. This does not fit logically in the context of an argument addressing an issue.

• illude: Means to deceive or trick. This is rarely used in modern context and does not logically complete the sentence.

• circumvent: Means to find a way around or bypass an issue. While a rebuttal could circumvent an issue, the contrast implied by "although polished" highlights a flaw or failure to tackle the point head-on. "Address" is the most direct and appropriate vocabulary choice here.

3. Conclusion:
Thus, the word that best completes the sentence logically and idiomatically is address.