I agree. If this woman had just come over and talked to you first, I wouldn't have been peeved off.
In fact, if she got on my good side, I'd run interference for her, too.
But, if she gets on my bad side, I'm just as likely to tell her to piss off.
If you really want to have some fun, next time somebody approaches you like that, put your hand up to your ear and talk into your wristwatch, "Code green! Hold your positions!"