Dog Supremacy?

I took my dog to the dog park as i get there this lady with her dog that´s bigger than mine goes in as well. Her dog for some reason never stopped barking at mine, the lady didn't like that. She came up to me and told me if i could put my dog out like if my dog was the one barking. I said no, my dog was not even paying attention to your dog if u don´t like it then you get out. What did her stupid dog have against my dog, and why did she think i was going to take my dog out. Was it because she was older and she thought i should have listened?