Okay I understand your complaint. I don't agree. Batgirl isn't overly sexualized. If anything, Batman is. I mean, Batgirl is just trying to get into his pants, and who wouldn't? My complaint is that this is out of character and Bruce Timm has to stop projecting Selina Kyle onto Barbara. "You could see how much she loved him blah blah blah." No you're the only one that saw that. What everyone else saw was how Barbara had a crush on Dick (Thank you for that amazing closer Gail). Funny thing is, it was never even hinted in the Animated Series' rebound episodes (I Think that's what they referred to them.) Then all of a sudden in Batman Beyond and Mystery of the Batwoman they were a couple. Really? WTF Timm? And WTF Dini? Why didn't you tell Timm this was a stupid idea?
To cap, I don't think Barbara was sexualized. No more than what that shit head Stewart wrote when he destroyed her character turning her from Batgirl to the Pixtagraph Queen of Burnside. Seriously, first few pages Barbara woke up with a hang over vaguely remembering making out with some random guy the night before. Now THAT'S sexualizing a character, turning her into some party animal making out with randoms.
From what I can tell here, and hopefully I'll see it soon, is that Barbara was enamored by Batman (Again Timm?) and she decided to seduce him. Takes balls to do that. Just terribly out of character. I also agree it added nothing to the movie, considering Joker did this to make Gordon go crazy. Not to get some vengeance against Batgirl, since he doesn't know who Batgirl is.