Should I friend a girl back that that I had an argument with to apologize?

It's been 2 weeks since I last had spoken to her. The argument was over something immature she had said and I having to correct it. I said something harsh to her which I apologized to her for but she claim none of what I said was warranted from the start. I tried to understand her, but she called me selfish and reaffirmed to me that I was as important as anybody else in her life. I unfriended her because I was hurt, but I miss and still value our rare relationship. I don't want it to end with a misunderstanding like this. What can I possibly do?

Should I friend a girl back that that I had an argument with to apologize?
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