Can I restored my wiped out religion in Civ 5 Gods and Kings?

I eliminated a computer player that had a strong religion (Buddhism). My religion was weak, whereas this other one was taking over the continent quickly. Now that I have him overrun, I want, well wanted, to work on converting cities to mine, but I see now that all of the cities period have his religion! I tried making an Inquisitor just to test, but he is ineffectual at removing Buddhism, being that I can only buy him in Buddhist cities. (Because all of my cities are Buddhist and my religion, Shinto, has been wiped out.

Is there no way to recover your religion in such a situation?