TL

“I am just convinced that what she is doing is not public and I am convinced that she thinks she has the truth but she is not saved. “

Very possible. I’ve had that problem in Bible Study classes by both a woman and a man. Both of them I asked to learn and study more because what they were trying to claim as truth was off kilter. In the man’s case, I’m not sure he was even a true believer. But the point was they were getting pushy trying to claim their ideas were truth from the Bible but they really didn’t know the Bible on those subjects. These days and maybe always, there are people who think they can dispute teachers openly and get into debates publicly (and privately) claiming they have the truth, yet they are not truly studied on the subject.

“I am also quite sure that her husband has a prominent place in the assembly and he may very well be one of the elders and it may be that he has repeated what his wife said to others and this is how the “problem” became known. This part is conjecture of mine, but I think it is reasonable considering it appears to be a private matter and not a public situation. “

This is very possible.

“If it was public, there would be no reason to point her out among all the other false teachers. All of them were to have their mouths zipped. ;)”

Well, except for the conclusion that she may have been deceived and was just passing on the deception. Admonishing her to learn and not to forcefully promote her incorrect teaching, would mercifully allow her to learn without as much public shame.