Remember that time when Egwene went travelling through the dream and ended up in Rand's while he was a little less than sane on his way to Tear?
If so you also remember that instead of saying anything that would explain to him why she was there she just said things that could easily be taken in more than one way.
When she could have said, "Hey Rand, I know it's strange that I'm suddenly in your dreams, I'm surprised myself. I am in the White Tower using a ter'angreal that lets me enter dreams. You obviously seem upset, so instead of coming closer I'll just stand over here."
I realize that she wouldn't have said all of that, and definitely not like I just did, but seriously, it was one of those situations where everyone says the wrong things just so that the misunderstanding can persist and the plot progress. I hate that kind of garbage.
White Chirstmas: Stupid old woman overhears Bob (Bing Crosby) talking on the phone about the general, but only stays on long enough to hear part of the conversation. She tells Betty who never actually confronts him about it, but talks around it/about it in such a way that she assumes he knows what she is thinking about but he of course has misinterpreted because, duh, of course he would.
It's poor plot writing when the only reason things happen is because people act irrational and illogically when there is no reason (outside of the plot) for them to do so.