The best possible way I can see is if the Mississippian Cultures (state(s)?) of the great city of
Cahokia survives strong and intact so that when De Soto arrives, his force is either annihilated or, better yet, captured, by some South Appalachian Mississippian army.
Even with their partially superior weaponry, the Spanish would be simply too outnumbered by any regional variation of the Mississippian Culture - as a whole - to knock them out.
If Cahokia was but a loose confederation, some formal political centralization might have to emerge to keep up with Spanish - and other European colonial powers - technologically, so that they could maintain their independence and eventually challenge Occidental presence on a greater scale.
But I myself don't think Cahokia was a mere "world renewal centre"
as some have suggested. Rather, I am convinced it was the capital of what was at least a powerful paramount chiefdom, perhaps even
a true state.
And if Cahokia the capital of a relatively unified polity (whatever its sort), I highly doubt it would role over like the Aztecs, the Tarascans or the Inka did. The first fell at the hands of masses of angry and formerly oppressed nations that were desperate to escape the horrors and atrocities of Aztec rule. The second fell from the Cazonci's foolish, perhaps cowardly, and certainly fatalist refusal to fight for fear of suffering what had happened to their former rivals, even though in hindsight the legions of the Cazonci clearly had a very different situation against the Spanish than their former Mesoamerican neighbours, arguably even in their favour. And the Spanish just got lucky in Kashamarka: If anything went different, the Inka State would have inevitably emerged victorious in an actual battle.
But, barring an repeat of the almost ASB Conquest of the Inka Empire, the Mississippians would be simply too numerous and their polity to strong for another easy Spanish victory.
In conclusion, the Europeans would sooner or later be forced into a peace with the Mississippian Polity. And the Mississippians could build upon their previous achievements to modernize and build a strong, prosperous and truly American state.