Rand sees them talking in the hallway. Moiraine points at Rand, and Min squints at him for a moment and nods curtly (it's obvious that it's because she sees images above his head) and then they talk. Min is 100% loyal to Moiraine at that point.

When they are travelling through the Ways she says she is fairly certain Thom isn't dead, and someone asks her "Did Min see something about him?" and she replies something like "Min saw a great deal, about all of us."

At some point Rand wishes she doesn't know of any of Min's viewings about him. Perrin has this same thought when Moiraine mentions Faile being his falcon. (She clearly knows of all the viewings about him too).

Later on Min thinks in her head (probably in the Prologue of TSR) that Moiraine was the only one who had understood how the viewings work. Siuan was annoying her by saying she can deal with the viewings. Min has always told Moiraine about every last vision she's had, until they part company in TDR. It's a fact.