Rieekan clearly defers to her ("I don't think we can protect two transports at a time.") She is definitely in a position of authority and would be well versed in all military issues regarding Echo Base.
I can imagine that she would be seen as quite an inspiring figure to the soldiers of the Alliance.
Seriously, who wouldn't fight for this Princess?
http://www.padawansguide.com/originaltrilogy/hoth52.jpg
I rest my case...