All the girls I dated are straight including my present g/f.
Of course most of them didn't know I was FTM until I told them later on... luckily, they accepted it.
But I had problems with a couple of my ex's parents...when they found out..............It sucks....
Like everyone is saying...it really depends on the girl. But you will never know unless you try.
If you really like this girl...I say go for it..there's nothing to loose.
And if she doesn't feel the same...then she isn't the right girl to begin with....life goes on.There are more people out there who will accept you.
Try to not think negative. I know its easy said than done.