Mentioning the internet dating may not have been advisable but otherwiseit was not a mistake and possibly a necessity to rbreak the limbo.This will take time to register fully with her. Right now she doesn't care and is angry. Time will tell if deeper thinking results. But don't worry about that. The fact she heard it unfiltered is more real for her.
Focus on you and your kids. Take your own anger and frustration and channel it into shaping your life, making it the best possible.
Sorry this happened but I look forward to hearing about how you kick start 2017.
Best wishes
R 25 years M 14 years S11 & S13 Working on it alone since Oct 2014 M in trouble a lot earlier (~2 years) Feb 2016. 1st R chat in a yr. Next R chat Aug'17 Still together