I'd run. Not because of the tattoo itself. But what it represents. A person that would tattoo something like that on their body is most likely not well adjusted. It screams of this "all or nothing," "together forever," "fairy tale" attitude that isn't based in reality. The funny thing is, the attitude is what causes these people to not be together in the first place. You see, that woman saw this as an incredible gesture of love, and a neurotypical person sees this as a massive redflag. I'd bet dollars to donuts she doesn't act capable of an adult relationship.

An adult acting woman would never tattoo my name on her ass, but her capability of loving me correctly is far and above any woman who would.