Known for her ______ critiques, the art historian was rarely swayed by popular opinion, preferring to rely on her own discerning judgment.

✓ Correct Answer: Option B

The phrase "rarely swayed by popular opinion" and "discerning judgment" suggests sharp, incisive critiques. "Trenchant" means incisive and forceful, fitting this description. The other options imply flattery, harmlessness, or respect, which contradict the context.