Been lurking for awhile but I had to say something on this. That route only leads to the "Best Male Friend Zone". Sadly I am speaking from experience. She'll just want to talk and talk and talk cause she feels that you wont judge her.
Yes, your doctor is correct, it is the carbs (not fat content). There are quite a few slim diabetics. This diabetes forum will help you alot (especially with questions on what to do from now on). http://www.diabetesforum.com/forum.php