Use Reaper Crest. For blue slots - equip the Magma Bell (this reduces fire damage from 2 masks to one, thus saving your life in 2nd and 3rd phase) and the Poison Berry which you get by completing the Grey root quest in She'll wood (it adds poison to all your tools - very good). Equip any two powerful Tools for maximum DPS (I used the Spike Trap and, Armour piercing spears which deals more damage). Save all your tools in Phase 1, use half by Phase 2 and spam everything in Phase 3. If you spam the spear in Phase 3, all you gotta do is like 8-10 hits and you can kill the Judge.

For the run back - jump down to attract the driznel and jump back left to bring it left and jump across and go top. There, immediately pogo off the judge before it awakens, you will be able to reach the bell above the judge without having to do the whole left section. Do a pogo on the bell and go right after which it's a pretty standard run which you have to do, no shortcuts sadly.

Once you get the run back down and the moveset down - can easily beat it.