"Churchill told the War Cabinet that there would be no negotiated peace. Halifax had lost. A few weeks later, in July 1940, Halifax rejected German peace offers presented through the Papal Nuncio in Berne and the Portuguese and Finnish prime ministers.
Halifax wrote in his memoirs of an occasion during a short holiday in Yorkshire:
"One such interlude early in June 1940 is for ever graven into my memory. It was just after the fall of France, an event which at the time it happened seemed something unbelievable as to be almost surely unreal, and if not unreal then quite immeasurably catastrophic. Dorothy and I had spent a lovely summer evening walking over the Wolds, and on our way home sat in the sun for half an hour at a point looking across the plain of York. All the landscape of the nearer foreground was familiar—its sights, its sounds, its smells; hardly a field that did not call up some half-forgotten bit of association; the red-roofed village and nearby hamlets, gathered as it were for company round the old greystone church, where men and women like ourselves, now long dead and gone, had once knelt in worship and prayer. Here in Yorkshire was a true fragment of the undying England, like the White Cliffs of Dover, or any other part of our land that Englishmen have loved. Then the question came, is it possible that the Prussian jackboot will force its way into this countryside to tread and trample over it at will? The very thought seemed an insult and an outrage; much as if anyone were to be condemned to watch his mother, wife or daughter being raped." "
Wikipedia page on Edward Wood, 1st Earl of Halifax.
There is probably an element of revisionism, given the way things turned out OTL, but I'm not sure how set on 'surrender' Halifax was.
The earlier section on the same page referencing the 'Phoney War' also doesn't make Halifax seem like an appeaser:
"Again, on 1 November 1939, Halifax replied to an approach through Swedish channels that no peace was possible with Hitler in power. Even that aroused the wrath of Churchill, First Lord of the Admiralty, who sent a private note to Halifax rebuking him that such talk was dangerous. Halifax remained opposed to any hint of a compromise peace during the Phoney War."