Does she still have a penis? If so, no she shouldn't be allowed to run, I don't care if "she" identifies herself as female, genetics say otherwise. That'd be ******** for all the other girls running.
This is not a productive discussion; too many judgmental people, especially for this total non-issue that doesn't have any impact and doesn't affect any of your lives in any way. It goes to show a lot of you are still deeply rooted in tradition when it comes to gender roles in society. Free your mind, and the rest will follow.