I can't take issue with a woman having tattoos as that would be hypocritical on my part (seeing as how I went under the 'gun' nearly 20 years ago)....BUT, I will say that with a woman, it all has to do with her personality, the location, and largely, the subject matter of the ink.
For example, yesterday we took our oldest son to a consult with an ortho doctor in Columbus, Ga. After the docs visit, since we were only a mile from the mall, the wife just had to stop and look-see. Well, I don't do the 'mall thing' so I hit a center court bench and people-watch until she's done. Well, the very attractive lady (looked to be in her early 30's) walks by. She is very well dressed (like a sales professional) with a sleeveless top. As she walked on by, I noticed lettering, about 2" high per letter, showing on both shoulders. She had a phrase of some sort written all the way across her back, and the fact that it stuck out both sides of her top just didn't flow well with her clothing and overall appearance. I wouldn't say it was a 'turn-off'...it just didn't 'fit'.
I've seen some women with large sections of tattoos like flowering vines and such on their sides and backs....and even flowing down over their hips that were quite stunning (if the artist was good) and it really added to their physical appeal.
That's JMHO, FWIW......... coming from a Caucasian man who could actually more accurately be called a 'colored boy'....