That has to be the most bizarre conversation ever - from BOTH your ends. Including your last text about being very unhappy with her.
From your end, all that repetition about questioning an emergency was totally unnecessary. It was clear by her conversational mode that it wasn't an emergency When she asked why you answered the phone, all you needed to do was say "I'm really busy right now - can I call you back in a couple of hours?"
Never regret anything that has happened in your life. It cannot be changed, forgotten or undone. So, take it as a lesson learned and move on.