I'm entirely in agreement with others regarding non-combat situations, and on playing up the consequences of murdering people. Those are all very applicable to any especially dangerous character.
However, I don't think there's been enough emphasis on the weaknesses a Battlebabe has specifically. Because, unless the Battlebabe has gone to some serious effort to get up Hard, the Battlebabe shouldn't actually be unstoppable in a straight fight, especially if other PCs are involved. You can't really Go Aggro once the shooting starts, and Ice Cold doesn't apply to anything else.
An Ice Cold Battlebabe is great at murdering people who get in their way, but not so great at pitched battles, since those are generally either Seize By Force or Single Combat if you're fighting them straight up. NOT TO BE FUCKED WITH helps out here, but not enough vs. well armed gangs any larger than Small. And Perfect Instincts is great if you have time to use it, it's less great vs. situations that just happen and you weren't expecting. A Battlebabe with the listed stats should be the baddest motherfucker around when they have control of the situation, when they've prepped, planned, and gotten the drop on foes. They're much less in their element when the situation suddenly becomes untenable. They're still the kings of acting under fire, and can probably get out of said situation, but it's unlikely to feel like a win when they do.
For example, in your description, you refer to getting to Go Aggro on someone when they currently have a gun pointed at you, and after there's already been shooting, and that's not really how that's supposed to work most times. Going Aggro is what you do before the guns come out, or at least before they're fired. If there's already been shooting, that's usually the wrong move to use for an actual confrontation. This makes confrontations where the Battlebabe isn't in control notably more dangerous for them.
And, going back to NOT TO BE FUCKED WITH for a moment, since it only applies in battle, I'm pretty sure it never applies when Going Aggro (on the giving or receiving end). That's not a battle move, after all. It also certainly wouldn't apply to getting shot by a sniper while going about your daily business. And a sniper with AP ammo is a very likely circumstance if someone thinks the Battlebabe is gonna be a problem for them, since a straight fight is clearly counter-indicated. Now, a Battlebabe might well act under fire and avoid a sniper...but that goes back to the 'surviving rather than winning' thing I mentioned earlier about situations the Battlebabe isn't in control of.