She wasn't joking.
You're right, Douglas, it's upsurd. In order to be in the military, one must be in tip-top shape. You pass a physical just to get in. Back in the 60s, my Dad was rejected for military service because of his eyesight. If they told him "sorry", what makes you think they won't tell a deaf person the same thing, or someone in a wheelchair like myself?
Guess what? They will!