Step 1: Understanding the Concept:
"Beleaguered" means surrounded by difficulties, harassed, or under pressure.
Step 2: Detailed Explanation:
The opposite of beleaguered would be free from trouble or pressure.
(A) Carefree - free from anxiety or stress (antonym)
(B) Harassed - similar meaning (synonym)
(C) Stressful - describes situations, not a person's state as opposite
(D) Uneventful - describes an event, not a direct opposite for a person
(E) Evaporating - unrelated
Step 3: Final Answer:
Carefree