Final answer:
There is no direct reference to Gerda or Abek in the provided excerpts, and without additional context from the source material, the question about Gerda's actions and her decision to communicate through a note cannot be accurately answered.
Step-by-step explanation:
The question seems to be about a narrative involving characters such as Gerda and Abek, and why Gerda chose to communicate with Abek through a note instead of meeting him in person in Burgberg. However, within the provided excerpts, there is no direct reference to a character named Gerda or an event where she declines to see Abek, choosing to write him a note instead. Without further context from the source material, it is not possible to accurately answer why Gerda would decline an in-person meeting with Abek.