Yes it will, but as time goes by and she learns that not all shouting and yelling = Shorty getting beaten, she will come around. There will be times in your life when you get angry and frustrated and cry and shout and she needs to learn that these episodes don't have anything to do with her.
There is nothing that equals unconditional love and affection. Dogs need it the same as humans do - probably even more, and if you keep showing her that times when you are angry do not automatically mean that she is going to be punished - or even has anything to do with it - she will gain confidence. She has been damaged by your brother's treatment of her, sadly, but she's a young puppy and she is in a loving home and good hands now, and she will soon gain confidence and be responsive to love and not so afraid. It's still under the surface with her, and you're treating her well - and you know, your reaction will probably teach her more about being careful where she puts her teeth than she knew before.
Obviously, it's not the desired response, but you couldn't help it - you were in pain! An aversive reaction like that can be scary for your dog, but bite inhibition is really an important lesson to learn, and if she understands more about when to bite and when not to bite, then perhaps that's the silver lining in this incident, even though I know you would change things if you could.
Don't stress about it - she'll be ok, and you're doing a great job