There's a lot of good posts in here about giving her some time and space to sort this out in her own head and I think those people make a lot of valid points that could apply to your situation but I think you need to have a better plan than hoping that this reaction is some sort of one-off that will never happen again and just moving on when everyone calms down.

This is an easy conflict in many ways. You seem to understand the entire issue and have been gifted the moral high ground in every way. But what happens the next time she does this? What happens when you don't know all the details and the matter is more cloudy as to who is to blame for what? How do you plan on actually responding and navigating such unreasonable behavior beyond giving her time to calm down? What's your response the next time she goes through your things and wants to fight about it?

Like many have said, give her a chance to calm down and think about things but if she is not going to listen to your explanation and act reasonable then you don't need worry about giving her a ton of chances to do so. If she expects you to fix the damage that she has done to your relationship through her own dishonest behavior then what else is there to say?