I think you're making too much of it. She didn't say she was going to sue them or anything. Just that the department should have more consideration for those with legitimate medical reasons. She didn't ask for special treatment just for herself, but really a change in the way the whole system works in future so that anyone (male or female) with a valid reason could benefit. And she gave a few viable options, like having the test done seperately, with an invigilator - don't see the problem in that.
Why should special consideration be given to someone doing active military duty, but not to someone with a legitimate medical reason? Sounds rather stupid. And saying that the tests are difficult to put together because he entire management needs to be part of it....what the heck for?
IMO she deserves that promotion if only for scoring so highly under such circumstances.