I think you generally do feel badly about having bullied her 14 years ago, and you should absolutely apologize to her. Understand she may not forgive you, but do make the effort to tell her how sorry you are for having hurt her and how you’ve come to understand what you did was wrong and how you’ve changed. My advice is to write this to her and let it be a sole gesture.
A week or two later, follow up with an invitation to have dinner. If your apology is heartfelt and sincere, I have a feeling she’ll be interested in getting to know you, as you are now.
I hope that helps. Let me know how it goes, and please follow me @AskAprilcom on Twitter and on Facebook at this link: [url][/url].