The correct option is C gently satirical third person
The third person narrator (as indicated by the use of characters' names and the pronouns "she", "their", etc.) is slightly mocking of Lady Bertram and her "amplifying style" of letter writing (the narrator is definitely not objective which would imply a detached tone and that does not exist in the passage). So, we can conclude that the point of view in the passage is that of a 'gently satirical third person'. Option C is the correct answer.