First of all, an apology to Elizabeth. I tried to publish your comment, but somehow the system lost it. If you want to make your point again, please do, and I will have another go at making it visible.
On 25 October 1460 the peers, speaking through the Chancellor, George Neville (Warwick's brother if anyone is in doubt) offered a compromise. Henry was to remain King until death, unless he chose to abdicate. However, the succession would go to York.
Henry, perhaps surprisingly, accepted this arrangement. Bertram Wolffe in his Henry VI suggests that the King may have been influenced by the Legate, Coppini. On the other hand he may simply have been influenced by his own taste for peace and a quiet life.
York and Edward, Earl of March renewed their oaths of allegiance and Henry bound himself by indenture to keep the arrangement. The succession statute of 1406 was repealed and York was endowed with the titles and inheritance of the heir and protected by the treason statute. Royal officers were commanded to give York the same obedience as Henry himself, and York effectively became Protector.
There was one very large and very obvious fly in this ointment. The same Act that gave lands and titles to York took them away from Prince Edward of Lancaster, and his mother and the many important peers who supported her were not willing to accept that, law or no law. The moment they resisted York they were technically rebels, but what choice did they have? No specific provision had been made for Prince Edward, not even the right to inherit the duchy of Lancaster. The Queen and her supporters faced political oblivion at best - it was inevitable that they would fight.