My girlfriend called me the N word?

I'm black and she's white. We've been together for quite some time and have two kids together. A few months ago during a fight she called me the N word and I've thought about it every day since.
Edit: we were having a fight about taking care of things around the house. At some point our daughter wanted to leave and go to her grandmas (my mom's). Sol decided that we would leave and told my SO that. She told me I wouldn't be able to leave with "her" kid. She said if I left she would call the cops on me. My daughter still wanted to leave and I decided I would rather leave than fight. Daughter and I walked out and she ran out behind me calling me names and the dreaded N word.
It's not something I can cope with or get over. We are at the end of our relationship because of this final straw.
Eventually she apologized, but still had her reasons for saying it and defended her actions.
Break up with her
Try to work things out
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My girlfriend called me the N word?
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