I don't think the Royal Family in general is revered, but I think the Queen has gained a great deal of admiration, particularly during the later years of her life, for her work ethic, unfailing commitment to her duty as she sees it, and personal integrity. She has held the line. No breath of scandal has ever touched her, unlike many of her family, and the number who gain actively from being Royal has been drastically reduced.
I would imagine she is very concerned about the increasing chaos generated by Brexit, by the way some MPs, some of Her Majesty's Government and some members of the public are conducting themselves, and has chosen to express her concern by making a very rare and very dignified public comment through the medium of the WI.
Perfect.