This might seem like splitting hairs but I feel like your post has some miss information..
Psyops is ATTACHED to SF units. They are not part of the SF community.
Halffash was saying that it looks like they are going to allow females to "try out" for ranger school soon. Not that they could.
Also the Army Authorizes 4 individual tabs: Ranger, Special Forces, Presidents 100, Sapper and if you are NG (Governors 20).
Airborne can be a Unit tab (ie: 82nd,173rd) just like Mountain (ie 10 mountain) and you dont have to be Airborne qualified to wear the airborne patch. There are Legs in the 82nd.