Not If you really liked me, I would think it kinda' funny, I wouldn't make a big deal out of it, in fact I would trust you to become more confident within time, because I like/love you, I don't need you to change, and I like you for who you are, not how you act (mostly, if it's not outrageous to the point of hurting anybody), and as long as you're a nice person and good to me I couldn't care less. :)
What makes you think you're not awkward with her? Chances are if your awkward with everyone, your awkward with everyone. And for me, IF a guy was relatively normal with me, but awkward around everyone else. Yes, it would be a turn off.