Wyatt Barnes had his personal disciple send a message saying he avenged Amelia Tyler, which was a result of careful consideration.
Although, when he acted in the palace of Fletcher Kingdom, it was with another face and another identity, since Amelia was Winnie's master, Wyatt had no intention of keeping it from her.
As for the personal disciple of Amelia Tyler who sent the message, when he met Winnie in Floating Flame Sect, he learned from her that this senior sister was an orphan raised by her master from a young age, regarding her master as a 'mother' and usually taking good care of her.
So Wyatt was not worried that she would leak this matter.
Besides, even if she did leak it, not many people would believe her.