After finishing the main part of the Cloister of Trials, there will be another scene, in which you can leave the chamber to proceed further. So, then, pat yourself on the back: you now have the lightning unicorn Aeon, Ixion! (Note of trivia: That’s the name of the time-travelling train in Dark Cloud 2, another PS2 game like FFX originally was.)
Annnyhow… The next morning, return inside the temple. Go into the room to the east for a Switch Hitter for Wakka, which is pretty good for this point: it has the Strength +3% and Strength +5% abilities. After, go into to the room to the west from the main foyer. Speak with the woman next to the bed and there will be a scene as Yuna awakens. After, walk back towards the fork in the Djose Highroad to the southwest. As you walk along Pilgrimage Road from the temple, though, speak with everyone: you’ll get a Halberd, two Hi-Potions, and ten Potions from various people along the way. Eventually, your party will reach the fork; Moonflow and Guadosalam are to the northwest, so let’s go!