Short Answer 
The term “CLOY’D” signifies an overabundance resulting in weariness, closely aligning with “OVER SENTIMENTAL.” “HALF IMPAIRED” denotes a diminished state, akin to “PARTIALLY DAMAGED,” while “LOTH” reflects reluctance or unwillingness, correlating with “RELUCTANT OR UNWILLING.”
Step 1: Understanding “CLOY’D”
The word CLOY’D refers to an excessive supply of something that is initially perceived as good or pleasant. This term conveys the idea of becoming weary or disgusted by such overabundance. Among the given options, the term that most closely matches this meaning is OVER SENTIMENTAL, which describes someone who is excessively emotional, implying a form of excess similar to cloying.
Step 2: Interpreting “HALF IMPAIRED”
The term HALF IMPAIRED indicates a state of being weakened or diminished in strength or quality. This condition suggests that something is not functioning optimally or has lost some of its original value. The closest synonym in meaning provided is PARTIALLY DAMAGED, which similarly refers to something reduced in value, usefulness, beauty, or overall quality.
Step 3: Exploring “LOTH”
The word LOTH describes a feeling of reluctance or unwillingness to act against one’s beliefs or principles. It serves as an adjective expressing hesitation or a strong aversion to something. The nearest synonyms for loth in this context would be RELUCTANT OR UNWILLING, both effectively capturing the essence of the term.