A few things
Shadowfax, it was Gandalf who said 'something about solving the problems of now, and that future generations will have to solve their own problems', in 'The Last Debate', after the Battle of the Pelennor Fields:
'Other evils there are that may come; for Sauron is himself but a servant or emissary. Yet it is not our part to master all the tides of the world, but to do what is in us for the succour of those years wherein we are set, uprooting the evil in the fields that we know, so that those who live after may have clean earth to till. What weather they shall have is not ours to rule.'
You may have confused this with the debate in the Council of Elrond, when it was suggested that the Ring be sent over the Sea. Elrond dealt very quickly with this idea, saying, 'they who dwell beyond the Sea would not receive it [the Ring]: for good or ill it belongs to Middle-earth; it is for us who still dwell here to deal with it.'
Regarding the Queen of Underland in The Silver Chair, her identity is left unclear by Lewis. In Chapter 15 of the book, after the Queen is killed, and Prince Rilian, Eustace, Jill and Puddlegum escape to the surface, the Prince discusses who she is with 'the older and wiser Beasts and Dwarfs':
And now they all saw what it meant; how a wicked Witch (doubtless the same kind as that White Witch who had brought the Great Winter on Narnia long ago) had contrived the whole thing, first killing Rilian's mother and enchanting Rilian himself.
My view of this is that these Narnians are speculating that she may be similar to Jadis, due to her appearance, considerable magical powers, and being evil. No indication is given if they know that Jadis came from another world, as told in The Magician's Nephew. Even if they did, it would be reasonable, from the information available to them, to place both her and the Queen under the heading of 'Witch'.
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