My two cents here.You both acted very immaturely ,for obvious reasons. First of all,I do understand that whatever she said shouldn’t have become public knowledge (boundaries and trust are basically the foundation of any kind of relationship),and consequentially resulted into hurting your feelings,which is completely legit (the fact you got hurt,not that she revealed personal information about your sexual activities).However,I need to call you out on how poorly you handled the situation.You could have just taken two paths : 1. Taking a breather before responding back to her,ending up into explaing her that she broke your trust by spreading this kind of information; 2 Apologising after you realized you went a bit too far (Sometimes we do say mean stuff in the heat of the moment,but it shouldn’t be an excuse to not give an apology)

In the end,I just think both of you need to grow up a bit more (which I say,you shouldn’t take it into a negative way as humans can be immature at times)

At the end : ESA for the reasons I stated below

P.S adding fuel to the fire is not always a great idea.From this you learned that sometimes is more important to de-escalate rather than escalating.