The correct option is A pursue
The word 'avoid' refers to keeping away from or stopping oneself from doing something.
Option A, inspire refers to creating a feeling, especially a positive one in a person.
Option B, compel refers to forcing or obliging someone to do something.
Option C, pursue refers to following chasing someone or something.
Option D, take refers to accepting or receiving someone or something.
Thus, according to the meaning, the word 'pursue' is the opposite of the word 'avoid'.