If you don't look like you're thinking "I hope no one thinks this looks tacky" while you are parading around in animal print, no one will think it's tacky.
I tend to avoid animal print because it's just not my style. Plus, way too many "Texas Big Hairs" here wear it with everything in an attempt to look young, which seriously backfires. Then I go on campus and see girls wearing it inappropriately, like, leopard print spandex tights that looks like you need the jaws of life to pry it out from between those two butt cheeks.
In small doses I don't think most will even notice what type of print it is so no, your suit won't be tacky.
Animal print itself isn't tacky i think it depends on who is wearing the print itself! I think it works very well if you are slender and young i do not recommend a swimsuit like that if you are older
I love wearing animal print accessories: a belt or a scarf, or maybe shoes. I don't find it tacky at all. I agree, that bathing suit is really hot, I love the color too.