Most reputable tattoo parlors follow strict sanatation guidelines, so your baby should be perfectly fine!
As long as the needle was new and you didn't get hepatitis, you're fine.
I would think if the tattoo didn't cause any infections, you should be fine, but it is always best to address this with your doctor. My daughter has a lower back tattoo and she was concerned she couldn't have an epidural when she delivered her daughter, but they did it anyway. I guess it wasn't such a big deal after all.
Be sure to mention it to your doctor though.