Im Type two so my might differ from yours. I have two tattoos and I know now that one was done while my BG was not under control. I found out later that I had type 2 And it healed well. It is on my shoulder.
I would think that if you discuss it with a tattoo artist who has all the neeeded certifications and experience they could advise you the best path forward.
Placement, BG control, and size of the tattoo would all be variables that need to be considered.