Answer:
The correct answer is "apparent authority".
Explanation:
Aparent authority means when a third party believes and feels that in a particular situation a certain agent has the authority to act even if they have no legitimate authority.
It is a concept of law. In aparent athority it reflects the authority that an agent has as it appears to others.
In this particular cae, Odel reasonably believes that Poppy has the authority to act on Nan's behalf even though Poppy does not have the actual authority to do so.
In this circumstance, Poppy has "Apparent Authority".