Anne of Brittany, Queen of France, dies from illness during autumn of 1499, before birth of Claude, leaving no surviving children. So Brittany is likely just absorbed by France, I doubt Anne's distant cousins would be allowed to claim it. Louis would obviously remarry, and with different wife propably has more chance to extend Valois-Orléans line. Death of Queen Anne also means, that her cousin and namesake Anne de Foix-Candale is less likely to be offered in marriage, although Germaine, niece of Louis XII, would not be less valuable on marriage market.
Louis XII in OTL seek for alliance with Jagiellons in 1500 against common enemy- Habsburgs. Alliance was to be sealed with marriages of Jagiellon Kings of Poland and Hungary with Germaine and Anne de Foix (because Louis had no more closely related relatives to offer). John Albert of Poland would die soon, so his marriage would not be anyone' problem, but Vladislaus is more likely to marry Germaine de Foix (who also was offered to him IOTL) than Anne de Foix, who is less important ITTL. But ITTL also Louis XII needs to marry and John Albert of Poland would obviously offer him his youngest sister Elisabeth (b. 1482). That was the time, when Poland for the first time in history tried seriously alliance with France and such marriage would strenghten planned coalition against Habsburgs. How likely is it?
So now we could have:
-Louis XII leaving male heir, preventing François I from taking throne.
-unlike "Louis XII has a son with Mary Tudor" son of Louis XII could be teenager at the time of father's death and would not have half-sister with rights to Brittany married to First Prince of Blood (so France's internal situation would be more stable).
-also Mary Tudor is never married to Louis XII (but could be married to his son instead?)
-Hungary has another Queen (Germaine de Foix), so by default, Aragon has another queen too (Françoise d'Alençon?).
What else would change?
Louis XII in OTL seek for alliance with Jagiellons in 1500 against common enemy- Habsburgs. Alliance was to be sealed with marriages of Jagiellon Kings of Poland and Hungary with Germaine and Anne de Foix (because Louis had no more closely related relatives to offer). John Albert of Poland would die soon, so his marriage would not be anyone' problem, but Vladislaus is more likely to marry Germaine de Foix (who also was offered to him IOTL) than Anne de Foix, who is less important ITTL. But ITTL also Louis XII needs to marry and John Albert of Poland would obviously offer him his youngest sister Elisabeth (b. 1482). That was the time, when Poland for the first time in history tried seriously alliance with France and such marriage would strenghten planned coalition against Habsburgs. How likely is it?
So now we could have:
-Louis XII leaving male heir, preventing François I from taking throne.
-unlike "Louis XII has a son with Mary Tudor" son of Louis XII could be teenager at the time of father's death and would not have half-sister with rights to Brittany married to First Prince of Blood (so France's internal situation would be more stable).
-also Mary Tudor is never married to Louis XII (but could be married to his son instead?)
-Hungary has another Queen (Germaine de Foix), so by default, Aragon has another queen too (Françoise d'Alençon?).
What else would change?