Answer: Maybe.
Marvel apparently can't decide. But Kurt still seems to do priestly things...and I believe has been celibate since his whole stupid Draco thing. It's been mentioned that he keeps ducking romantic involvement. And this is a guy who was a giant man-whore pre-priest. Both Beast and Wolverine have commented on how woman fall all over him and he shrugs it off. (Canonly, he's famous thanks to Excalibur, and is shown getting hit on, numbers dropped, numbers tucked into his pockets) It's been about nine or ten years since The Draco and he's STILL avoiding all the super hot women?
I'm going to say, that for Kurt, he still technically is a priest...he hasn't found a reason to break his vows (it was handled HORRIBLY in canon, Chuck Austen is an idiot).
He's still figuring that part out about himself.
He's come to grips with his own confusion, and trusts that God will direct him as needed.
EDIT:
Canonly, yes. In Marvel, "Azazel" has stated himself to be "Satan" even while claiming that demons and angels are ancient mutants. Since, actual Marvel-verse demons (Mephisto) etc, claim that to be of the same race...and have implied that "Azazel" was the most powerful of them all. There's been hints about this once race of celestial beings/ancient mutants splitting into two different sub-races.
From the Wiki: "In recent times it has been rumored that Azazel actually is a demon, or at least holds the blood of one. Many mystical beings such as Mephisto, Blackheart, Satannish, Dormammu and Hela, have made slight references to the leader of the Neyaphem to be much more than he seemed and had a strange set of 'ties' to mortals. Though Mephisto has openly stated that Azazel possesses a great strength unattainable by true demons."
Note: In canon, Mephisto offered Kurt a deal to just stay out of the coming War (in Heaven). Kurt punched him in the face.
Mephisto left without killing him.
I personally think that they're trying to make Kurt the son of Lucifer the fallen Angel, but are dancing around actually doing it because if the shit storm.
I'm just going to say that...yes, it's Lucifer. (they kinda sorta retconned Kurt having all those siblings. Azazel took a specific interest in Kurt, and before he vanish...was actually kinda fatherly. Sorta.) Kurt's half-fallen angel and half mutant-human. He got his looks and powers from his father (except for the coloring and the eyes)
What does this mean?
Not a whole lot another than for RP purposes. He's still plain ol' Nightcrawler. His abilities are the same. He just has the Soul Sword currently, which is pretty much useless except to smite demons and other magical/supernatural beings. He won't use it on the Barge unless he fears for his life or the life of another and has exhausted every other option. And never without Mun/Mod permission.
Angels/Demons/Magical Dudes/Etc - Can Kurt be sensed? Yeah. (if you want them to) Whatever a half-demon/angel mutant would feel like to your character. The soul sword is inside him and is actually part of the soul of Illyana, aka Magik, the Queen of Limbo.
Kurt a big ol casserole of WUT.
PM me if you want to make any of this stuff a plot point.
This is for people who knew the former Kurt and for people who's only seen the X-Men movies.
Movie Kurt
616 Kurt (then one I play)
No scars, no jagged teeth, and he has a layer of very soft fur. His personality is "pirate loving, swashbuckling, attention whore, uber nice, comedic, giant flirt" who also is a devout Catholic.
Kurt's famous where he's from and walks around without his inducer almost all the time.
PM me of you have questions