You are doing exactly what you are suppose to be doing, i.e., not wallowing in her misery. Go out, have fun and you do not have to tell her who you are going out with. Her curiosity will eventually get the best of her.
You handled this conversation very well. Keep up the good work, especially on yourself.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.