Personal Instance.
About 18 months ago, five months after I bought my first burm, I dropped in a medium sized mouse into his cage. I usually fed live at the time, and this was one of those instances. 90% of the time, I dropped the meal directly in the snakes view area, after I had removed his hide ( the tank was rather small at the moment, I hadn't upgraded at that time. ). Again, this was no different than before. By the time the furry little guy hit the bedding, the burm had already poised for the strike, and went for the kill. He missed on this occasion however, and instead of a good hit behind the head, he snapped onto the hind legs, leaving the upper body free enough to fight for the short time the little guy lived. When he rolled the animal into the clutches, the little mouse gave up a fight and starting biting the snakes body. Now... me, not wanting to have my snake scarred, or possibly sickened with an infected injury, I reached in with a toothpick and attempted to hold the mouses mouth away from the skin, until the job was done.
This was my first, last, and only mistake in this type of situation.
The burm, apparantly scented the mouse still on my hand, and released his kill, and struck at me without a single ounce of wasted time. I had little chance to get back, and got a nice bite on the corner of the index finger, full and complete with blood. I got him off me easily, and after fifteen minutes or so, his agitation wore off and he ate the dead mouse. Lucky for me he was barely 6 months old and not large enough yet to do any real damage to me. I treated both of our wounds, his much later in the evening, and he healed from it with no problem. My pride however, still hasn't healed.
So, from my personal experience.. if the burm gets Fluffy.. call up the vet and see if they have another one available for adoption. Otherwise, you got some explainin to do. Say a prayer for the lost pet, but silently pat the burm on the back for a job well done, after all, it was only acting on instinct.