The dimensions you mention are within normal values for a small person. In fact at these levels they are quite normal and not even considered to be ectatic.
The ascending is usually expected to be about the same diameter as the descending. If it were me with 3.4/2.1 and a family history of aneurysm, I would continue to be monitored. Your age makes a difference, too. If you are already middle-aged or older, a slight enlargement may not be as much of a concern. In a young person, there are more years ahead of you in which you could potentially develop an aneurysm, so continued monitoring is prudent. For more information about familial aortic disease, check on www.bicuspidfoundation.com.
That's probably on the slightly large side for an average size woman. I would not freak out over it. I would keep in close contact with a knowledgeable cardiologist for regular screenings to monitor for growth.