I would change without a second thought. There are very few incidences where your genotype would be looked at, and give that your body said otherwise, it would probably be written off as an excuse. When I got my first driver's license changed from F to M, all I had to do was to walk in and tell them that when I received the card, the wrong gender had been put on it. They changed it, no questions asked.
Now if you are talking about being born in the appropriate gender, I'd have to think twice. In some ways, it would have made life much easier, but I might not have been the same person. Many of our personality traits come from the trials and tribulations that we go through in life. If I didn't have to go through all that I did, I might not have the empathy I do or some other characteristics.
There is a chance you would never even know that your genotype said you were the opposite gender your body said it was. Other than checking it when you are first born, there wouldn't be much reason to do it.
sam1234