Final answer:
The synonym for 'ill-will; hostility' is 'animosity', which refers to strong hostility or resentment. Therefore, the correct answer is option d).
Step-by-step explanation:
The correct synonym for 'ill-will; hostility' from the options given is 'animosity'. The word 'animosity' refers to strong hostility or active dislike towards someone or something. It carries the connotation of deep-seated bitterness or resentment, which aligns with the concept of ill-will. The other options do not fit the definition: 'brevity' means shortness or conciseness; 'cataract' refers to a large waterfall or the clouding of the lens in the eye; and 'offal' is waste material or the entrails of a butchered animal.
Therefore, the correct answer is option d).