“She agonized over trying to represent the minute details of her performance”
Based on this we can eliminate (B)
Now A and C are both good choices, but because you are generally curious about things you don’t know, where as her work was landmark in her field, it is better to go for a general term that says that she liked her work: that is option (a)
When you’re agonizing over minute details it doesn’t mean to show your interest in those things rather it means that you’re already familiar with that subject & that’s why you want to get every minute detail right .Hence, reverence it a apt choice in here .
Curiosity killed the cat
Jokes aside, I think curiosity for a task doesn’t mean you would agonise yourself over the task, especially to represent the minute details.
Reverence should be a better option.