Note that the new Medicare cards have no gender marker.
(https://www.susans.org/proxy.php?request=http%3A%2F%2Fwww.mcclatchy-wires.com%2Fincoming%2Fhdg1lp%2Fpicture173246941%2Falternates%2FFREE_768%2FMedicare_Cards_Identity_Theft_16541.jpg&hash=36b7495ad4beaab69f84171dfd56444ad4691ba5)
I have the old card but it's gendered correctly. The Social security office must have done something right when I corrected my records 35 years ago.
I am gendered correctly on mine as well. The whole reason they are being changed in because identity thieves can take advantage of you social security number being on the old ones.