I think tattoos can be distasteful on both men and women. It just depends on what you get and where you get it.
I find tattoos on womens' legs, ankles, arms, shoulders, neck and lower backs to be distasteful. If it's somewhere hidden then it can still be cute. Depending on what you have. It seems like in today's world every girl gets a lower back tattoo and they all have the same thing- butterflies. It's outplayed! Doesn't everyone want to not look like the next person they see walking down the street?
Facial tattoos, excessive tattos in one area, neck tattoos, facial piercings, and some extreme body mods are distasteful to me in both genders.
I have a tattoo on my boob. Some say it's trashy. Most people that know me don't even know I have it unless they have seen me in a bathing suit, topless, or in a tiny little top that barely covers my breasts. To me, everything from it's placement to the actual design is unique to me. To others it's just a dumb ladybug. It has a significant number of dots which signifies something special to me. To me, that's the way a tattoo should be. It shouldn't be something you took ten minutes to decide on after walking into a tattoo parlor. It should be thought out, unique, and special to you. Not something you will see on the next ten people who walk into the same parlor you are in.
Being classy is more than just the way you choose to decorate your body whether it be from your clothing style of choice, your makeup application, or what holes or ink you have on your body. It's about the way you carry yourself and present yourself to others. Your attitude.