I'm hardly experienced enough to embark on a technical critique of those photos but that is a very pretty lady and the photos capture her beauty very well. Which, I think, is the essential purpose of portrait photography.
We all have our opinons on tattoos but as a photographer you need to set your opinions aside and simply attempt to make the best presentation possible of what is there to be photographed.
I myself am no fan of tattoos and do not understand why people would wish to make permanent marks on their bodies, but I can appreciate well done tattoos from an artistic and execution point of view even if I would prefer that they were art on canvas rather than on skin. And, of course, to each his own. I am far too Libertarian to want to tell someone what he or she should or should not do with or to his or her own body.