Of *course* you feel sad over the death of a chicken! These are beings you spend time with, whom you know personally! Yes, you eat chicken, but as Lewis Carrol wrote in one of the Alice books (don't remember which), it's only when you're introduced to someone that it becomes hard to eat them. Okay there may be a small exaggeration in that last statement, but it's to make a rhetorical point.

I'm sorry you lost Brown Chicken :(

It's very, very hard to be brought face to face with how limited, both in scope and durability, our umbrellas of protection are :(