I commend you for coming HERE for advice. You've come to the right place. Why? Transsexual people know far more than any medical professional every could about actually being transsexual ... unless they, themselves, are TS.
Everybody here has answered you so marvelously, especially JENNIFER and Kara. Of particular importance, Kara said:
Its true. Your fears are logical. The problem is that they probably don't have a choice. The only way to live a life where you don't think the thoughts, "Why am I not a girl? Why was I born like this? This isn't real," All the time 24/7, is to just do it and be what your mind is pushing you to do. In the end, if you deny yourself, you become twice as miserable. If you deny who you are and what you feel like you should be, the pain will be exponentially worse than having a bigot make fun of you.
Your kid is going to have a rough time, but the alternative is a constant never-ending growth-stunted miserable life. They will likely walk this tough road no matter what is done to interfere with their progress. So walk it with them as a mother hand in hand with a quirky daughter, yet loving daughter nonetheless.
Wow. Marvelous, marevlous advice, Kara! Mom, there's your answer ... right there.
These gals (female brains here, remember) have all offered you such fantastic insight. Get knowledge here and apply it with love for your child. I must say, however, that your child may take a while to overcome internal turmoil. If he (she) were my child, at an appropriate time, I would mention that appropriately good manners are best for everyone, because they help us all get along well. Just my two-cents worth. Hope I haven't offended you in any way.
Good luck!
Hugs!