No. I think you should leave the artist out of this.
Tattoos are a commodity like any other. You want one from this person, you pay; just like if you want a Mercedes S Class, you pay more than for a Toyota. We can't always afford the things we want when we want them.
Just my opinion, but two weeks in I'd leave it totally alone. It takes 4-6 weeks to heal and there is NOTHING you can do until then so I'd just relax and wait to see what it looks like when it's healed.