What's next?
[Mission part 2]
After meeting up with Himeko, if by chance the pope has already arrived skip to the second paragraph as this will be plan b.
-> Plan B
If you are here that means bad news. I'm not stupid enough to send you to the capital under these circumstances. From what you said the Pope is after Clara so exposing you like that isn't a good idea. If you told Himeko of the plan I assume she wants you to stay in the cave, but that's actually a bad idea.
You may think you are safe, but the protection it provides will not last much longer. When you opened the gate with the medallion it should have released an immense amount of magic, meaning the magic circles that are in place will deactivate. Now do not worry, there should be a teleporting stone that will take you to a dungeon. It is tier 8, but you should be fine with your new clothes. Also Himeko should still be able to handle tier 8 monsters so hopefully she tags along.