_June 22nd._--Peel found an opportunity of making a sort of apology to his party in the House of Commons two nights ago. Tom Duncombe attacked him and them in one of his buffoon speeches, and Peel took advantage of it especially to disclaim the arrogant pretension of insisting on his party adopting every measure he thought fit to propose. The ground on which he took the decided part he did last week was the coalition between his people and the Opposition. He said he should not have minded the adverse vote; this might have been got over; but it was the agreement by which it had been brought about which so deeply offended him. This, together with the personal conduct and language of many, indicated such a want of confidence in him, and proved to him that he was in such danger, and must be thrown into such difficulty, by the possibility of future coalitions of a similar kind, that he was resolved not to put up with it. It is now made up; but nothing can repair the mischief that has been done; nothing can restore that mutual confidence and goodwill which are so necessary between a Government (especially the leader) and the party which supports them; nothing can recover for Peel the estimation which he has forfeited. The dislike of many of his supporters to him will not be less, their distrust will be greater, and he has now lost their respect in great measure. His conduct has not been that of a great man, nor even that of a prudent and judicious man. [Sidenote: LETTERS OPENED AT THE POST OFFICE.]