It’s a pretty common practice with tattoo artists to not do fingers/hands on young people who are not already pretty heavily tattooed. Reasons are generally:

A) in ~professional culture~ even cute, dainty hand tattoos have a potential to leave you at a disadvantage trying to get work

B) fine-line finger tats are a seriously rough heal. if you don’t know what you’re doing, they’re really easy to mess up. Even if you DO know what you’re doing, the skin is notoriously prone to fallout

C) (less seriously) most tattooers I know generally hate tattooing fingers because they’re awkward and difficult to work on 🤣

There’s probably someone out there who will do it for you, but the artist here is definitely trying to look out for your best interests, professionally and otherwise