My boyfriend is gay!?!?!?!?!?!

So my guy and I started dating two months ago. It was very strange at first and now I'm absolutely head over heels in loves with him but, I've caught him staring at other men but never woman and there are times where I feel he is just not attracted to me at all. And when he introduces me he never calls me his girlfriend. He only calls me his honey bunny and girlyfriend even though he's clearly stated that I am his girlfriend. I don't know what to think and I can't talk to anyone I my group purely due to embarassment. Please help me.