Was everyone like the Winchesters? This was why she loved humanity, after all. Love, devotion, protection, caring for others even when you didn't know them. It was why she fell, and as much as she didn't want to see anyone else get hurt, she couldn't deny this person, human or not, seemed to be showing these qualities.
Of course, Anna stopped moving the second Lilith did. "No." she said with a shake of her head. "Come on, Lilith. I don't know what it is you plan on doing, but I'm not worth risking yourself over." maybe she was powerful enough to stop the demon, maybe she wasn't. Either way, Anna had fallen. It was the one way guarantee to get yourself blacklisted. She wasn't worth the trouble. It was her own need to survive that pressed her on.
She still thought maybe she wasn't worth being saved, even if she did have her Grace back. "The demons want me more. Trust me, they have their reasons." and she didn't want to see them kill anyone else to get to her. Priests, her parents, people at the hospital, who else had been hurt because of her? Too late for talking now, the demons were almost on them. She glanced at them, eyes narrowing. She'd go back, if it meant saving this girl.