"What does it mean exactly to be loyal to the Guru?"
Swami answered very clearly:
"This means, for example: your Guru says something. Even if you do not agree with it or share a different opinion on the matter, it does not matter for you must trust in faith. You change your own life but you are no longer the most important thing in your life; instead the Guru must always stand first. The more you begin to realize that the more spiritual gain and grace you will obtain from your Guru! "