She wasn't treating you any different than she would treat anyone else. "Girly" is an affectionate term to another female, just like "chan" or "kun." (Minus the fact that those are honourifics obviously.. but they are terms of endearment.) I hope you're not offended, since she was giving you a compliment. If you don't want to be treated as how you were born and rather how you wish to be portrayed, then you should specify it so you can allow people to understand that it might bother them. I always figured it was common knowledge to still refer to a "butch-like" (excuse the rash term) lesbian as still being a woman because she still identifies with that. But people don't know what you might not actually consider to be a compliment, but you shouldn't avoid their efforts and the fact that they meant well. Clear the air a bit, since I'd think it'd be helpful to all of us. Perhaps instead of "member" you can put something that describes you a little more where others can get the point.
Also, I'm not saying this because I think you're wrong, or that you don't know this, but rather I don't know how BT might take your response as I find it a bit defensive and dismissive, especially since I would have probably complimented you with something similar not knowing that it's unacceptable to you. (Like the fact that you have such amazing doll-like eyes and they're gorgeous would be kinda leaning towards the more feminine side of things.)
I just want to let you know this so you can be better respected. I hope you understand my point of view.
Either way, I saw her saying "girly" as in the feminine way of saying "Hey, man!" because that's how I use it. And.. you are biologically a girl.. so unless you rather identify as a male.. maybe you should let us know if it bothers you :C.. we don't want to make you feel bad.