Games : Is downloaded games on new 3ds deleted or unusable after transfer from old 3ds? (NO NINN ID ON NEW 3ds)

Literally what the title says. I got a new 3ds today and I decided to get a game that would normally be unobtainable for me because the game I wanted on the eshop was rated M because of Nintendo Id regulations on my old 3ds. But now I want to transfer my data to my new 3ds, which I haven't linked to a Nintendo id, so will the game I downloaded on the new 3ds be deleted or unable to be redownloaded afterwards? Again, my new 3ds isn't Nintendo Id liked but the old one is.