Then by your own logic males who identify as women should compete with males since they better fit within male times/speeds/etc (er, because they are MALE).  Without testosterone you don't have male strength? Nonsense. The skeletal structure and size of males alone gives them an advantage. Any male who has lived beyond 11 has this advantage of puberty.  Testosterone has done the job already even if you stop taking testosterone.  

And there are are studies like this that show that bone density increases for males who identify as transgender.  However uncomfortable that makes you.  The truth is inconvenient to your religious rhetoric here. You can identify as anything you wish, but the facts of physical differences between the sexes are the very basis for males competing against each other. Had there been reason to undo this logic, it would have been undone long before males wanted to compete in women's sports.  

http://www.endocrine-abstracts.org/ea/0037/ea0037gp.10.05.htm