We don't see this picking on individual behavior against women who enjoy Fifty Shades or Days of Our Lives.
Actually, you do. Hobbies seen as "feminine" are often taken less seriously and seen as less "serious" than hobbies that are seen as "masculine." Compare popular/mainstream reactions to Twilight, with, oh, Ready Player One, or take note of the common dismissive attitude towards "don't count as REAL games" mobile games like Candy Crush.
Similarly, hobbies seen as "nerdy" or "geeky" have also traditionally been mocked. That mockery has started to subside as some of these interests have become more mainstream---but, some of those old biases have continued to seep out in new or coded forms, too.
Anyway, I agree that furries need to leave that "CSI shame" in the past where it belongs, and realize that the furry fandom is just a fandom like any other, and that there's absolutely nothing wrong with liking anthropomorphic animal characters--hell, I'd even go a step further and say that there's
also nothing inherently wrong with having attractions to anthro characters, either! (Even Buzzfeed admits that Robin Hood and Lola Bunny are sexy, after all, so furry crushes are more common than many people would like to admit.)
At the same time, each of us still needs to take responsibility for our own behavior, and for the part we play in making the fandom what it is. Have fun and express yourself, but don't be a creep or an asshole.