If you love that girl so much then just go to her when she's in a good mood or send her a note and make sure she reads it, and in that you can explain your feelings for her and that you truly love her and all, and you're not lying and she should at least give you a chance!
I gave a friendship offer to a girl yesterday. She shouted at me & said just shut up, go away. What should I do now?
I would just leave her alone and forget about it. She sounds kind of rude anyway. Don't think you want to be friends with that anyway.
Every lady is like that at first contact. They don't want to be too easy to get. Just keep trying until she gives a listening hear.. First meeting is like new product advert, not everyone will buy the product at first but once they love it, they don't want to change it
By the sounds of it, the girl you offered your friendship to is not currently willing to reciprocate. Unfortunately, we can sometimes forge a bond with people who do not feel the same, and that is perfectly normal and in no way a reflection of or testament to your character.
Considering that her response was so aggressive and negative, I would suggest that you do not proceed with attempting a friendship with her.
When somebody tells you in a very firm and clear way that they are not interested, there is really no two ways to perceive it. The writing is on the wall and that is just how she feels.
However, perhaps it's best to see it in the sense that this person is not worth your friendship considering how much you have to offer, and it is in fact her loss. There are plenty of people who you can form a true, natural and real relationship without having to force it with the wrong people.
I hope this helps