your saying, "the Predestination willed..." is a wrong statement from a religious point of view. The correct thing is to say, "Allah willed...," so you should be aware when you use such statements. May Allah guide you to the right path.
you made a mistake that caused the pigeons to die of thirst, as you did not take into account that the water may be cut off suddenly. However, you do not have to offer a Kaffarah for this. You just have to turn to Allah in repentance for doing so and be determined not to do it again. It would have been better for you to appoint a person to feed the pigeons and provide them with water during the period you spent away from your home.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.