The correct answer is A. against.
The word “averse” means “having or showing a strong dislike or disinclination.” In this context, the speaker is asking the listener if they are reluctant to recommend their name for a job or other opportunity. The listener should not hesitate to admit it if they are averse to recommending the speaker, as the speaker would rather know the truth than be led to believe that they have a good chance of getting the job when they do not.
The other options are not as accurate in this context. Option B, “for,” means “in favor of.” This does not make sense in the context of the sentence, as the speaker is not asking the listener if they are in favor of recommending their name. Option C, “about,” means “concerning.” This is also not as accurate as option A, as the speaker is not asking the listener if they have any concerns about recommending their name. Option D, “to,” means “in order to.” This is also not as accurate as option A, as the speaker is not asking the listener if they are going to recommend their name.
In conclusion, the correct answer is A. against.