3DS transfer Zelda

Hello,

OK so I think I made a mistake.

I own a regular 3DS and the gold 3DS XL that came with the newest Zelda game. They have two different Nintendo IDs.

I wanted to do a transfer from my original 3DS to my new shiny gold one. Can I do this somehow despite having two different IDs?

I do not want to lose Zelda.

Thank you