I hate that many people seem to misunderstand Leia's character in Star Wars. It seems many think of her character as a captured princess and a innocent victim of the galactic civil war. Even Carrie Fisher doesn't understand her "floating accent" that comes and goes throughout the film.
The fact is, when we meet her she's only using her "Princess" title to disguise her real position as a member of the Rebel Alliance on a mission to deliver the stolen Death Star plans to the Rebel base. Her accent is only used in front of Darth Vader and Moff Tarkin in an attempt to fool them into thinking she's no more than the innocent princess of a peaceful world and therefore no threat to the Empire at all.
I've also heard her delivering the mission briefing in TESB criticized by people who obviously don't understand her character. She's not just a princess who got caught up in the war, she's a major leader of the Rebel military. That's why we see her doing such things in TESB and why she's leading such missions in SW.

It might be a nice touch if a fan editor altered General Dodonna's dialog to something like "General Organa, you're safe!"
I'd dig that.