I was doing an event a very long time ago and I have not been on since. My character is stuck in this zone with no way out. I have attempted to get the teleporter lady to send me out, but she came back with a syntax error.
A while ago PWO has gone from using XanaScript to Lua for the coding of NPCs. NPCs on maps that were no longer accessible weren't included in that update unfortunate for you. The Kinyoubi Dungeons were part of the 2015 Occult Day event which has resulted in you being in the current situation.
Normally the you'd resort to the following steps:
Use an Escape Rope
Lose a PVP battle
Contact a Staff member
But presuming the last Pokemon Center you visited was on the event map as well, you can skip step 1 and 2 in this case and try contacting a Staff member right of the bat.
The easiest way of finding staff members would be through the Discord chat. I hope this issue will be resolved soon.