Should I tell my daughter the truth?

My 13 year old loves animals. She's a vegetarian because she loves all type of animals pigs, cows, and everything. She also loves uggs though and they have to kill sheep to make them (don't tell me otherwise I worked at Deckers the company that owns Ugg Australia for ten years.) She loves them though she has 11 pairs! She's been asking me if they have to kill sheep and I don't know what to say.