Nobody likes someone too aggressive; aggressiveness can become a threat. Lady White hoped her children would always grow according to her wishes; Duke Russell was satisfied with Winchester's excellence but was unwilling to relinquish power early; Douglas wanted a submissive wife.
Even the current queen, who was warm in demeanor, would always pull Margaret's hand, subtly advising her to stay away from certain noble daughters and not to form factions. Perhaps hearing about the existence of the knightly order, she felt that such an organization might threaten the royal family.