There was a tiny voice in Buffy's head telling her that this was a bad idea. This was Faith, a Faith that she apparently wasn't supposed to be getting along with. She did understand where Faith was coming from though, a little. Being alone, kind of was part of being a slayer. You could be surrounded by people, friends, whatever, and still be alone.
She wasn't sure if this would do anything for Faith. She wasn't even sure what she was doing period. But pizza was usually a safe thing, right? They didn't even have to talk, they could just sit and eat the pizza. Besides, Buffy wanted to show the other slayer she didn't hate her. Buffy wasn't sure she trusted Faith, but hate was not in the cards here.
It didn't hurt to try...whatever it was she was trying to do. The pizza had arrived a few minutes before Buffy heard the knock on the door. She had it set up on her coffee table, with a bottle of Coke. She had almost brought out the whiskey she had gotten from Spike for Christmas, but had decided against that.