Should I be annoying to my friend by spamming her too much and then being upset over her slow response?
Why would you want to do that to her, is it fun?
Yes, I want her to accept me. This is how I show her my true self.
That is not a good way to go about it. It's rude to annoy people. She might not want to be your friend if you act like that around her.
She will get used to it after a while. Don't judge a book by its cover.
What happens if she doesn't get used to it? You could lose a friend by being annoying on purpose, and if you really care about her then you won't put her through this.