Answer:
The woman is most likely experiencing 3. schizophrenia and is displaying a positive symptom.
Explanation:
Schizophrenia is a mental disorder characterized mainly by hallucinations and delusions, as well as unorganized speech and lack of self-care, amongst others.
These are mainly positive symptoms since this is "added" to the disorder; it is something that appears because of it.
This woman is most likely experiencing a referential delusion since she believes messages are being delivered specifically for her by an eagle, as well as the involvement of a secret spy.