When Meow keeps tattoo artists busy putting tattoos on her in places where she can't see them easily, this means the artists aren't tattooing other people who Meow would be able to see more easily to be offended and disgusted by them.
Gunfingers is confused.
In that picture, she's being careful to hold her arm at an angle where she can't see the tattoos. She wouldn't be able to do this with, say, your arm.