Col. 40th, ID.As Awkal you thi: Wiiitk RmmEEs. On Sunday appeal* were made in severa of the Churches of thin city, in behalf o the white refugees arriving in Cairo daily from the South, The appeal which was read says :“With the triumphant march of our armies through seetionsof th« rebellion, wholecommunities hare lU^e l to our lines forpi otection against a misrule they took no part in establishing, ami a despotism they have been powerless to resist, The reign oi k-n^r which eiists throughout the eb-el States lying in and adjacent to the Mis sissippi va icy, has no parallel in the most barbarous annuls of any country. Their A’iit■bouic.fi men have been conscripted, or, lieeuig to the wood- and swamps, have been rum ltd with bloodhounds, and alint like tjems. Sympathy with the Uuion has oceu made the sole occasion for ntiMeiti.-.v unheard of in intestine war. Thus, with cru.el hand has rebvhiori mingled a hitter cup lor u« unwilling subjects, and is now dealing out to them its dregs. They are sent North by the military authorise*, on lt;juwfoment transports, and steamers, and landed at the Cairo levee at all hour* of the night and day. There they are left shelterless and penniless, their future an aimless blank. More than two hundred have