Final answer:
Anagnos believes that Annie's outspokenness and strong opinions might get her in trouble in her new job, as suggested by her personality traits and her approach to her work and life in general.
Step-by-step explanation:
The qualities that Anagnos feels might get Annie in trouble at her new job are related to her personality and approach to life. Specifically, answer option B) Her outspokenness and strong opinions are the qualities that seem most likely to be a source of trouble according to the given context. Annie is characterized as someone with a strong disposition, noted for her concentration and borderline egocentrism. There is no indication that her persistence, strictness, or unconventional methods are of concern to Anagnos. Instead, it is her lack of emotional attachment, her contentment in isolation, and her preference for maintaining a certain moral standard through fastidiousness rather than through a sense of morality or religion that underscore her outspokenness and strong opinions.