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Jesus this thread is a jumbled mess of conflicting advice, and almost all of it's entirely valid. Hell, a lot of it sounds pretty great.
OP, it's a good thing you're a PhD student; you'll have to use your brain to figure a way out of this one.
Most immediately, my advice would be for you to calm tf down for a while. See how things go, be sure to apologize the very next time you speak with her if you haven't already. You don't need a pretense or an explanation to offer her for what happened. Just a simple "I'm sorry, not really sure what happened but I hope it hasn't caused a problem between us"
Regardless of how she feels—or frankly, how you feel, as it seems you haven't come to that decision yourself—there will be plenty of time to explain what happened and why to her and yourself as time moves on. But, and I must stress this, don't rush to do that; as I said, you'll have to play it by ear until both of you calm tf down. And keep your distance for now lol.