No, fur does not rhyme with terrier.
The most honest answer is nothing.
While psychoanalysts might tell you that your dreams have an important role in your life and that they are talking about your secret desires and whatnot, that is simply not true. Research has never proven this.
Interpreting dreams in such a way is something that should be very cautiously done, if even done at all!
This post of view is a person's thoughts, which is first person. First person is the reader reading as the character, and that's how this introductory line is written.
C.
I would personally go with B