If you are struggling talking with non-vegans about your believes without receiving anger and rejection from them, there is an insightful free ebook form Earthling Ed, a vegan activist. He shares his deep experience and knowledge by taking the 30 most common excuses from non-vegans and gives guidance on how to best react to them so that they might rethink their objections and put more compassion into their choices in the future.
I think you might find that helpful, since it gave myself more confidence in addressing the ethical standpoints behind veganism: https://www.earthlinged.com/ebook/