Batgirl returns to Oracle's Tower after rescuing the freelance sniper, to be met with questions about why she wasn't wearing her costume when she beat up the government agents, compromising her future identity.
After a nap, Batman arrives and takes Batgirl to a remote cabin, where he tells her the sniper she'd saved had made a phone call, and was dead, assassinated by the hit squad squatting in the cabin. Batgirl ... shows them the error of their ways.
In the end, Batman takes Batgirl to a Batcave. HER Batcave, not his. Because her face was known to the government, she can't stay at Oracle's Tower anymore, because she could compromise Barbara.