To be fair, though, heterosexual relationships and sex are explicitly permitted and encouraged and praised in other passages. If not for those, and if, in addition to the difference you suggest, Lot had offered his sons (if he had any), then people might suggest the story condemned heterosexuality.
Actually if the men were wanting homosexual sex it would make much more sense for lot to offer his sons rather than his daughters. Lot was protecting his visitors according to custom and the men of that city were wanting to humiliate them and drive them away. This is much more consistent with all the scriptures that tell of Sodom's sin than these silly homosexual explanations.
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