One good trait of a good pilot is to be able to prioritise. If you really want to be a pilot that much - and competition is intense - I would make your priority in this circumstance to be as employable as you possibly can be... forget about the tattoo and put your effort into something more relevant, like your first flying lesson, initial class one medical, etc.
Becoming a pilot is a long and/or expensive path and when trying to gain employment afterwards with mounting debts, it can be stressful. It would be a shame to waste all that time, effort and money on a dream career and lose out of a job with your dream employer just because of a tattoo. Stay focussed!
Btw, being a pilot is cooler than having a cool tattoo!
