Started a fight with her and over nothing and now I don't know what to do!!!?

ok so last night I told this person im dating that she drinks to much, problem is SHE DOESENT ( I mean in all fairness we both drink alot, maybe to much by some peoples standard's) but I know in my heart of hearts I started that fight because of completely unrelated stuff that had nothing to do with her drinking. It was me being pive aggressive and trying to get her attention in a terrible way!!! I hate people who do that stuff and im better then that!!! now she hurt and mad hell she may be done with me!!! question is...do I tell her what really happened or will that just piss her off more?