<human>: Can you succinctly summarize the text in 1-3 sentences?

We went to one of her friends lunch and had a great time, until I unwittingly and non maliciously said something about her son. The question was posed by one of her friends as to what her son looks like, I replied that her son looked like a little brown guy. This caused her to get angry and I instantly regretted it.

Later on that night, we talked and she said she need to think us over. The next day we were supposed to meet up but she decided not meet me because she was studying and still thinking us over. 
So I call her later that day and she informs me that we are breaking up because I crossed a line in making that joke and it being the second time it has happened that she cannot take me back. We continued on the phone, I was trying to present my case that I am a good guy and really see a future with her but she is standing firm. 
We continued talking and starting to have a good time then I asked her if I could have dinner with me to which she at first said no then changed to a maybe. I'm hoping to get a face to face to try and salvage what's left of this relationship. We have been dating for about 5 weeks now. I need some advice on how to proceed? Cause I really do like this woman
<bot>: girlfriend broke up with me because I made joke at her son's expense and it's the second time I've done it. We've broken up but I'm trying to convince her to take me back, I need help