<human>: Provide a brief overview of the text.

Been together two years. Currently I'm in the States and she's in Japan so ~ 14 hrs difference. She was showing me a dress on skype she just bought and went to change into a second one. My dad called me on skype so I told her I had to get this call and I'll call her back later. 20m later, after I finished talking to my dad, I called her back and she shut off the webcam demanding that I apologize. I asked her why am I apologizing and she said for making her wait. I refused to and she shut off the skype session. After 10-15 minutes, I messaged her explaining that I will not apologize because I felt it was a very immature and unreasonable request and I don't think it was okay. 

What should I have done instead? What could I have done better? Do we talk about this again later or just forget that it happened.
<bot>: Skyping with gf, dad called, told gf I needed to get that and I'll call her back later. 20 min later I call back and she demands apology. I didn't. What do?