Think about it this way...
I know quite a few women and men that simply scream gay! Guys that dress well, get manicures, and talk with a lisp yet are 1000% into women. Chicks that hunt, camp, dress in boots or burkinstock sandals, and sometimes even have mullits yet they are 1000% into guys!
Then people look at me and if they think about it too long then their heads explode! I love to hunt and fish and camp but then I get home and put on that dress and makeup...No one knows what to think.
People come in so very many variety's that deciding on anything is a mine field.
And like they said above... What if she were a jew, or catholic, or black, or latino, or in a wheelchair? Would that change how you act around her?
I know that anything that is unfamiliar is scary but she is just as human as you are and that is all that matters!
Don't get me wrong... I am really open minded but still have a hard time around lots of different people. I went really racist against blacks for a good week after my car was broken into, and I have a horrible time dealing with a few family members/friends that are total homophobes. I haven't "come out" or labeled myself or anything but having to sit there and hear them go off about their religous beliefs that say that it is evil is really hard to do. All I can do is say "you are welcome to your opinions but you are adding to the problem." and try to enlighten them that they are no the only person in the world and people hate them as much as they hate gay's!
It will be hard but you just have to learn to cope with her as you have learned to cope with everyone else.
Good luck!