Except I would like to point out that it isn't through words that you affect someone's mind, it's through actions.
You can bring her round to having an R with you by the way you are with her, then she will see for herself all the plus points of being with you and may well relax into being with you.
Words and trying to reason with her and not going to make that happen and are not proof that it is how you say it is and might come across as nagging.
Just be the new you around her and if any physical contact happens, go with the flow and don't analyse it or have 'no sex' discussions, just let it happen like you did when you were dating.