Final answer:
The sentence that contains an opinion statement is 'Sayers, for reasons known only to her, declined.'
Step-by-step explanation:
The sentence that contains an opinion statement by the author is: Sayers, for reasons known only to her, declined.
This sentence expresses the author's opinion about Sayers' decision to decline the offer of a doctorate of divinity and implies that the author finds it puzzling or unusual.
The other sentences in the passage provide factual information about Sayers' background, education, and accomplishments without expressing any opinions.