I'm in a similar situation right now with my process to become a minister, and the denomination I'm with is particularly intense with "screening" (to put it nicely.) For what it's worth, it's always very scary when my own skeleton comes up, but in the end, there's also a strange relief that it's at least out there, and I'm not juggling another ball in the air with every new piece of paperwork. Most importantly, I think you're very strong to take this new venture on, and I truly hope that "checking the box" for your skeleton (if it even comes up) might even prove to be a healing stepping stone. Stay strong, friend!
JTS