Hello,
I recently had a chick with this problem, I read some mad suggestions but tried my own technique, I too realise the crossed beak only after a few days so I personally think it is not a defect but a dislocation from trying to peck out of the shell.
I tried massaging the beak and then tapping it with masking tape ( the type you use before painting as it doesn't leave a sticky residue and peels off easy ) leaving the nostrils uncovered but the chick itself or other chicks kept take it off with no results. ( normal sticky tape is a waste of time )
After many attempts keeping it away from the others and in a dark warm place there was no difference so I firmly held the jaw and gave it a push in the other direction until I heard it click, yes i was petrafied I'd broken it but quickly and firmly tapped it up as before, leaving the nostrils free and put the chick in an old tracksuit pants leg of my sons to keep it calm and warm making sure air would get in from the waist area, as it is dark the chick settled and was kept calm, I removed the tape after 2 hrs, I repeated this process 4 times in 2 days, morning after a good feed and evening again. That's all it took 2 days and 5 weeks later my chick is perfectly fine, beak is perfectly alligned and eating perfectly well. Hope this doesn't sound extreme but I was not going to kill this chick without trying my best, even though at times I lost faith and felt cruel I could not bare to see it eating the way it did and die from malnurishment. Hope this helps your chick ( persistance pays ) and in the end its for their welfare not a bozzo badge for me.
Let me know how you go !
Best wishes,
Sophie