You've got your etymology backward. The word "sodomy" is an English word that is taken from the name of the city, based on the late idea that Sodom's big problem was sexual deviance, including (but not exclusively) homosexuality.
As I mentioned in my previous post, we westerners have a hard time conceiving how hospitality could be such an important concept biblically and int he ancient near east. But feel free to do your own homework on this subject. But Scripture is clear what Sodom's issue was, as written in Ezekiel 16:49-50. Likewise rabbinic commentary points to the same, such as in Pirkei Avot 5:10,
"There are four types of people: One who says, "What is mine is yours, and what is yours is mine" is a boor. One who says "What is mine is mine, and what is yours is yours" — this is a median characteristic; others say that this is the character of a Sodomite. One who says, "What is mine is yours, and what is yours is yours" is a chassid (pious person). And one who says "What is mine is mine, and what is yours is mine" is wicked."
In the Talmud, in Sanhedrin 109a, we see several references to Sodom's sin, all relate to Sodom's pride, arrogance, and mistreatment of travelers, such as here,
"The people of Sodom said: Since we live in a land from which bread comes and has the dust of gold, we have everything that we need. Why do we need travelers, as they come only to divest us of our property? Come, let us cause the proper treatment of travelers to be forgotten from our land, as it is stated: “He breaks open a watercourse in a place far from inhabitants, forgotten by pedestrians, they are dried up, they have moved away from men”"
According to St. John Chrysostom, the abundance of luxuries and gratifying the gluttonous appetites of the flesh by the elite is routinely the cause of judgment and destruction,
"For indeed both Adam by the incontinence of the belly was cast out of paradise; and the flood in Noah's time, this produced; and this brought down the thunders on Sodom. For although there was also a charge of whoredom, nevertheless from this grew the root of each of those punishments; which Ezekiel also signified when he said, "But this was the iniquity of Sodom, that she waxed wanton in pride and in fullness of bread, and in abundance of luxury."" - Homily 13 on Matthew, 2
"Would you that I bring before you those [that live] in luxury? Let us ascend from the last to the first. The rich man who is burning in the furnace; the Jews who live for the belly, "whose god is their belly" Philippians 3:19, who were ever seeking ease in the wilderness, were destroyed; as also those in Sodom, on account of their gluttony; and those in the time of Noah, was it not because they chose this soft and dissolute life? For "they luxuriated," it says, "in fullness of bread." Ezekiel 16:49 It speaks of those in Sodom. But if "fullness of bread" wrought so great evil, what should we say of other delicacies? Esau, was not he in ease? And what of those who being of "the sons of God" Genesis 6:2, looked on women, and were borne down the precipice? And what of those who were maddened by inordinate lust? And all the kings of the nations, of the Babylonians, of the Egyptians, did they not perish miserably? Are they not in torment?" - Homily 29 on Hebrews, 4
-CryptoLutheran