Hello TeaFruit. You've posted an almost identical thread on Relationships and Communications section and I responded.

A quick recap:
She may have accepted your apology in her heart, but forgiveness does not = reconciliation.

And let me add:
Maybe it's not her, but it's you that need to forgive yourself and let go. You can consider the message you wrote to her as giving you a closure. You said you want to let her know, and you did. You said you understand if she doesn't want to be friends, and you have to mean it.

You move on by staying true to your words, and focusing on finding new friends.

Good luck!