There was a girl yelling at my dog and now I feel the urge to yell at her.
That's pretty rude of her, why do you think this is worth yelling at her?
She has hurt my dog's feelings.
I'm sorry she did that to your dog. It's totally normal to get upset when someone does something that inconsiderate.  You should ask her not to do it again though, rather than yelling at her.
I want to yell at her and bully her.
I don't think you should go that far with it. What she did is wrong, but you don't want to make the situation worse.