AITA for telling my friend to get tested?

I (26F) have a friend (we will call him Jake) that I work with. He started dating one of our ex-coworkers (let's call her Jessica). Jessica and Jake have been together for a couple weeks now but Jessica is mad at me for telling Jake he should go get tested (for STD'S). For context: When Jessica initially started dating Jake, she was also having sex with the coworker we dubbed Drama King (he obtained this name because he told everyone he got herpes but then cried when everyone knew? Believe me, we are all just as confused) (he has also openly admitted to sexting minors, so obviously not a great person) Drama King and Jessica have somehow convinced themselves that Jessica won't get Drama King's herpes if he doesn't have an outbreak which is simply not true if you care to do a simple google search, but i digress. Jessica then proceeded to sleep with Jake without getting tested and without informing him of the possibility that he may have been exposed as well. So when I found out, I couldn't not tell him. I felt like I would be a bad friend if I knew something that could ultimately affect his health and didn't say anything at all. I wanted to approach the situation the best I could without throwing anybody under the bus. So I said to him word for word, and i quote, "hey, I'm not gonna say who told me what or what I know, but I think you should go get tested. And im telling you this as a friend who is concerned about your health" he said "thanks" and I thought that would be the end of it bc we never spoke about it again. 3 weeks goes by, and Jessica finds out I told Jake to get tested and is PISSED, and thinks I did it just to talk bad about her. In reality, I really liked her as a person before finding out these things. and I made sure not to mention any names when telling him so I specifically wouldn't throw anybody under the bus. Am I the asshole for telling Jake to get tested when I found out Jessica was exposed to herpes and didn't get tested, or care to inform him before exposing him as well?