Once you come out of hyperspace fly towards Aeron and elevate yourself so you are above her. Without even stopping, get within 0.5 klicks of her and just release the probe. She will pick up the probe and the jump buoy will then appear. Go home and get back to fighting for the Rebellion.
Feel free to visit the Morning Star's TacOp database if you're stuck on any more missions (link to the Morning Star site in my signature).