She's not going to admit that she wants him to stay, in her city. She's almost used to not seeing him in a suit everyday. It doesn't really mean anything, though, she knows as she answers the door to let him in.
They mean something. She's just not sure what their relationship means to him. Sure he's her best friend that lives close, and they've gotten take out and watched movies every Friday since his decision to stay. But, Elena stops herself again-it doesn't mean that.
Just because they've had each other's blood, she had found him near drained by a few witches-offering her blood had been their only option. She would have made it again, even if it hadn't been. He had given his to her when Caroline's wasn't healing her quickly enough. She's sure it's one of the only times she had seen genuine fear in his eyes.
Just because they mean something doesn't mean they mean that.