Matt is right.
A patch and airborne tab means that they are IN the unit, and SF units are different from an other unit, they have plenty of females.
The airborne tab is a part of the unit patch, and does not necessarily mean that the wearer is airborne qualified (you don't need to jump to be in an airborne unit). If they wear jump wings over their "US ARMY" name tape, then they have graduated jump school at some point. But there are a lot of airborne qualified Soldiers NOT in jumping units.
a Soldier who has graduated SFQC (Special Forces Qualification Course) is authorized to wear the "special Forces" tab. That tab is worn forever, regardless of the unit they are in. Which is why you can find Soldiers with only SF tabs above unit patches. The SF patch does not have an SF tab over it by default, only the airborne tab.
On another note, it looks like the Army is opening up Ranger school to females, so they can get ranger tabs. They still can not serve AS rangers, but they want to allow women the opportunity to go to the school, so they can be as competitive for promotion as their male counterparts.
-Shaving says a lot about a man, like "I'm not one."