User blog comment:San&Ashitaka/Levi!/@comment-3118594-20131025150540/@comment-1971498-20131026072304

I wouldn't even use the term "tsundere". Being tsundere means that they show a love-hate behaviour, far from anything that Levi has displayed. That's part of what makes him interesting though, he SEEMS cruel, he seems cold, but he's actually not, and he actually cares for his comrades. If I really have to pick a term to describe that it would be "kuudere" which is a character that has a seemingly cold and serious exterior but who's actually nice on the inside.

@Hfc2x: Yeah that's the sad part. Admittedly I HAVE seen fans of Levi who do like him for the same reasons as listed by Dave55811, so although they're scarce among the hordes of rabid fangirls, they do exist.