<human>: Throwaway acc. & Sorry for being really vague, better be safe than sorry.

First off, we're not dating or anything but we had a little fling about 2 months ago which didn't lead anywhere, after that we basically continued communicating the same way as before. I tried asking her out but was rejected but didn't think anything of it. I'm in my mid 20's she's in her early 20's. I also have to add that our jobs are not really related, we do completely different things and this doesn't really affect our work.

Last week we just had a casual conversation about a random situation we have at work, during the conversation I start saying something I am not supposed to say about one of our coworkers but quickly stop and say that I'm not really supposed to talk about that, and suggest that we should switch the topic. We do. Later that day we go out for a smoke and she asks me about that thing I didn't want to talk about, I jokingly suggest it's not a good idea to talk about it and I may get in trouble for telling her. To which she says something like "You would prefer me not to talk to you at all?" not understanding where this comes from, I'm saying "Well, don't"... which turned out to be a stupid thing to say, and now we don't even say "hello" to each other. To add to the problem a few people at work that are close to her also seem to start avoiding me (which is actually the bigger inconvenience for me).

Point is that I don't really understand what I did wrong, it was her decision to even suggest stopping talking to me, because I didn't want to gossip about something I have to right to talk about.

We are both really stubborn individuals and I just want to swallow it up and apologize to her, but I have no idea how to do it and what to say. I'd really appreciate some suggestions from you guys.

Provide a brief overview of the text.
<bot>: A girl from work give me silent treatment over some stupid thing. I have no idea how to apologize, because I don't see what I did wrong.