cathars

Doug Hoff's legendary Empty America timeline has this neat tidbit where the Cathars flee to Madeira, and then to the Caribbean, both under the dominion of the Emirate of Grenada. https://www.alternatehistory.com/wiki/doku.php?id=timelines:empty_america So, could something similar to this...

Visigothic kingdom of Tolouse in 500 1. The "Old" Visigothic Kingdom of Tolouse. After murdering his brother Thorismund in 453, Theodoric II became king of the Visigothic Kingdom of Tolouse. In 466, after barely avoiding being assasinated himself by his own younger brother, Euric, the king...

Your challenge is relatively straightforward: have Catharism survive as a faith to the present day. Bonus points for somehow having a country with a majority Cathar population, at least for a time.

Recently I was wondering about what I know about this religious group (Basically what I was told at school.) and so I decided to ask anyone here for help (Write what you know, list books I should read or whatever else you think could be useful.). To put it in the words of Starship Troopers: I...

From what I read that the death of Douce II of Provence is one of the things that caused the Cathar crusade, her widowed Aunt married her fiance, so a surviving Douce II might have helped Raymond of Toulouse..unless if Douce II becomes a Cathar perfect like his OTL wife.