"blood thirst" isnt a good term. I've heard it used a lot, in incorrect ways. This isnt some uncontrollable blood thirsty drive like some make it out to be-- its just nature. They have a prey drive, they're just doing what is natural to them, and its fun to them.
People may disagree with me...
Establish a boundary, a leave it command. Lots of positive reinforcement, use treats, toys, praise, whenever she obeys the commands and turns from them to you. Start with her leashed until she is perfect at it. And once it is mastered, she may, may, be able to be trusted to an extent. But...