As a Cancer woman who has many break-ups over the years (I'm 60) the best way to get her to understand that you want her back is to just let her be for awhile. Then slowly let her understand that you are a friend & would like to just do things together, like go to a movie, have a coffee together, whatever. Nothing too sexual - nothing too pushy.
She pushed you to a break-up by pushing your buttons. She figured that if you loved her you'd put up with this crap OR break it off....just like you did. SHe set a self-fullfilling prophesy in her mind & when it happened as she thought it would her thoughts were "See, I knew this would happen. He doesn't love me."
I know cause I've done the same thing. My self esteem has been very low fo rmany years. After my husband died I really was low. My new significant other has allowed me to become the woman I should be by loving me as I am.
Wish you good luck with your love situation. She will be worth the effort once you get her to understand that you're not going anywhere. You love her & want her for life.