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.

2014/07/26 , 🚴, 31.27km, 1h19m25s, 2m32s/km, 23.6km/h
Before the night in slopes. Kind of fixed the bike. Better not to shift gears too much...