It means right or wrong behavior
An emotion release felt by the audience of a tragedy is called Catharsis!
It reveals that she wants a love for the ages. She wants him to prove his love for her by giving up everything willingly without a second thought for her. To just be satisfied being with her rather then having his family and wealth
The principal is only talking about Amy while Ms Gaskell is talking about all the students so hers is more formal while the principals is more personal