No, it's not odd.
You don't have to fit in with your gender roles. I'm a very feminine looking woman and I have no desire to physically be a man, but inside, I'm much more masculine. All of my friends have joked and probably always will that I am completely lacking in oestrogen and that if you cracked me open, Clint Eastwood would step out.
I have always felt more "manly" than "girly" in all ways other than appearance. And that's fine! I think you should just be who you want. When I was younger, this was a big source of issue for me; I felt very strange not "fitting in" with other girls, but as I grew up, I just accepted it and realised that it was just who I was, and that's great.
So no worries.