Lily didn't want to go home? That was probably a very bad sign. But Isabella wasn't going to just stay here with her. First off it was Wyatt's apartment. Second off she needed to get home and let someone know that Lily was okay. As much as she would love to protect her cousin the way Lily wanted it, Isabella had a responsibility to let the rest of the family know that Lily was found and safe. So where else could she take her?
"The Burrow then? Or my flat? Wherever you want, Lils. Just name it and I'll take you, yeah?" As long as Lily was thinking clearly enough to tell Isabella no, she was doing a lot better than she had been. Maybe the more Izzy talked to her the more Lily would wake up and jerk out of this daze.