I'm not going to give an elderly woman a ride home in the pouring rain
Why won't you give her a ride?
The old bitch doesn't like me anyway, the bitch has too much pride.
A person who doesn't like you is never going to be your friend, and I understand how you might want to avoid giving her a ride. She is elderly though and will get sick from being in the cold rain if you don't.
She's not my  grandmother, I'm not going to take care of her... They're annoying and useless.
Elderly people are not annoying and useless. This woman clearly has upset you but it's not fair to lump all elderly people into a box because of her.