I wrote the following as a cathartic release for yelling at her. Should I keep it to myself? It is a little too long so I posted it on reddit and you can view it there.
Most Helpful Girl
I don't need to view your letter. Send it, live with no regrets. You can't guarantee she will read it, but chances are she will. If she truly loved you, it is a shame that this break up happened after one fight, you might want to re-think this relationship. If the letter does bring her back to you, have some serious discussions about what is acceptable behavior, and always RESPECT one another... I wish you luck, but again. Life is short, take risks, you either end up happy, or wise, one or the other...
Most Helpful Guy
She can let loose with the excuse of PMS and shred you but you respond to that and you are in the wrong? This feels like groveling and, despite your words to the contrary, it sounds like you are trying to get her to come back to you.
Reunite and this scenario will recur, probably with the same result.