Presumably, the Queen, as Britain's Head of State, was invited by the Irish Head of State to come to Dublin on a friendly, bridge-building visit. She has taken quite a personal risk in accepting, and (as usual) is undertaking her duties there with dignity and grace. Interviews with several shoppers, passers-by etc seemed to show that, while not rapt with joy at her presence, they are not at all against the visit. If she isn't wanted there, why was she invited? I think it has done some good, and laid the foundation for future good relations.