According to the Chancellor's words, you don't have to use the world map to travel to the Gilded Arena, because the [Eternal Throne] has already got there. Consequently, head north, taking the same way as before (the above screen).
Approach the large gap. You can go around it by grabbing onto the nearby interactive vines, which shouldn't be a problem for you anymore.
Keep going north. I recommend trading with Ostegoth on the way, as well as looking around for a Book of the Dead page ([The Book of the Dead] side quest). Finally, take the passageway leading to the [Gilded Arena].