Laura, it really doesn't matter why you are telling people. If telling everyone you meet that you are D is no big deal in my book. But then again, I like you have D.
If telling a few people you meet makes them uncomforatble and helps you internalize that this is for life, let them be uncomfortable. They will either understand and get behind you and support you or they won't. That, my friend, is their problem not yours.
Yes there are going to be people who will look at you like you have a third eye or a horn. Yes, there will be some who will look at you and you know what they are thinking, I am glad I don't have that. In my mind, none of that matters. Your acceptance that you have D and your understanding of what that means is what is important.
Hang in there Laura and always remember...YOU CAN DO IT!