I think your answer was a good first step.

Later when she asks more questions, you can give her more information, matching her age level.
In a neutral, non judgmental way.

I think you will be fine.

I am mostly plant based, rarely eat meat, and no dairy.
When asked about it, I follow the above guidelines.

State your beliefs as plainly and simply as you can......

And at the same time, realize that you don't have control of the conversation, and that's OK. Being stupid is OK too. If you stay kind with your daughter, then that's all right.

Best of luck!

talk to your wife about this and come up with an answer both of you are comfortable with. Young children can be very black and white and often feel the need to pick the "right" side.

I just figure the arc of history will tilt our way and don’t worry about them. If I had a child I would explain my conversion, that one day on my bed I looked into my dog sam’s eyes and realized he was like me, not different in any important way. And after that I didn’t want to eat animals anymore because I don’t think they are very different from me, not in any important way. I know I can’t change the world, but I can change me. And I am confident the world will tilt our way over time.