What do people think about white girls with a chinese goddess tattoo?

I can't answer for what Chinese people would think - but if easterners were getting tattoos inspired by my culture I think I would find it flattering if anything, if it was a good piece of work! I wouldn't think anything less of you for having it, particularly if you have an appreciation for the culture and the art. It's much better than all the teenagers getting (usually incorrect) Kanji symbols just for the hell of it when they have no understanding or particular affinity to the culture their tattoo comes from. I know those kind of tattoos are often the of many oriental's jokes, moreso because they almost always have the wrong meaning! At the end of the day, most tattoo styles have their roots in one culture or another, even if we don't realise it. Pin up girl tattoos are traditionally American but I know a lot of British people with them, for example! I go on a tattoo forum and recently there was a guy on there ranting on about how it was so disrespectful and pathetic how non-maori's often had maori tattoos (he was from new zealand) and that how his tattoo was better because it had no meaning it was just a 'popular pattern', until I pointed out that his tattoo was celtic and had it's roots in scotland, wales and ireland, at which point he shut up! Anyway, as long as you're happy with the design and the meaning it holds for you then the opinions of others are totally irrelevant!