Sorry to cast a negative aspect but if it was a case of wearing female clothes she may have been able to handle that. That would be the equivalent of her wearing your clothes which you rightly say would not be an issue. But you (by all accounts) present as a female and act accordingly. I think that is where her issue may have laid. It is not double standards, but just that you (and I am not criticising you here) have taken it a step beyond just wearing female clothes to wanting to appear and act female. That could be her issue, not the dressing.
I know a lot of people won't like me for saying that, but it what I think and it is worth considering.