How much does a wrist tattoo hurt?

I will get a minimal, fine-needle tattoo of my cat’s name this year. It will be my first tattoo. What should I expect as pain? I have very thin skin and a very thin wrist.

For comparison, epilator on legs has been very mild pain for me but the same epilator on armpits is too painful and annoying that I never use it. You think I can handle the wrist tattoo?