It depends what the cultural context surrounding those tattoos happens to be. Is she a trail runner with some cool tats about the Pacific Crest Trail? That is different than a drug addict who did a bunch of homemade tats of a meth pipe.
I've seen some tiny white ink finger tattoos that I quite liked. Also saw some pastel colour ones that are v v small. If it was loads of big scrawls all over someone's hands that would be off-putting. Answer: it depends. Depends more on their personality though.
Tattoos are ugly. They are also a sign of bad taste, bad judgment, and insecurity (people only get them to try to convince other they are cool).
And these people are crazy in the sack. That's why you date them and then marry someone else.
That's why girls end it with guys like you when they find out where you've been.
No better deterrent than when you find out a guy isn't classy or fussy around who he's banged. High probability he will continue doing it on the side too. Literally turns a hot guy like a 9 or a 10 into a douchebag 2 or 3. Once you've seen it, it can never go away.