After almost 4 hours of work : bent back the derailleur hanger as much as possible (not perfect), place back derailleur with new jockey wheels, new chain, new cable. My 10 speed is now a 9 speed as I can't use anymore the 13. Well it's ok for training. I am going to give it a try now. Hopefully it will stay as now. . Thanks Cycle Shop Fukuhama for advices.