Before getting something so obvious as a facial piercing or easily visible tattoo, a person should ask themselves: will this improve my perception among my supervisors, professors, patients, and peers? What image am I broadcasting? Will the positive aspects of altering my body outweigh the negative affects that might occur due to the way people perceive me?
I don't mind 'em, personally. But there are those that are old school, particularly older patients, supervisors, and professors. Having patient trust is particularly critical for a physician, and anything that might undermine this trust can have negative impacts on the outcomes of those that are under your care. It's hard enough for some younger women to be taken seriously in medicine, don't give yourself another barrier.