I disagree with this whole thing 100%. If you want to role play a character that doesn't eat meat that's fine, but we can leave it at that, otherwise we have to start worrying about implementing systems that acknowledge everyone's life choices in RPG games to keep everyone happy. This is high fantasy, not 21st century western society sim.
Not to mention that those 3 animals would feed a lot of refugees who are already low on food and supplies. Might as well take away their bread as well because you are against eating gluten and/or kill them.