They already exist. Aspiring priests just need to learn to exploit the loopholes:
In fact, it's a little known secret that some already have done this. Some would convert to the Episcopal Church, where, for those who don't already know, is pretty much a mirror of Catholicism with female priests and without the guilt. As such, they'd get married, become a minister, and then, in a few years, reconvert back to Catholicism. Then voila! You have a legally married Catholic priest, according to canon law.
Interesting, eh?
Melon
The church already ordains married Protestant clergy who convert, and Eastern Rite priests -- who share liturgies and other traditions with Eastern Orthodoxy but are loyal to the pope -- can marry.
In fact, it's a little known secret that some already have done this. Some would convert to the Episcopal Church, where, for those who don't already know, is pretty much a mirror of Catholicism with female priests and without the guilt. As such, they'd get married, become a minister, and then, in a few years, reconvert back to Catholicism. Then voila! You have a legally married Catholic priest, according to canon law.
Interesting, eh?
Melon