A Rigorous Policy
The animal shelter that Lilo had been taken to has a very stringent policy that does not allow them to take in any Pit Bulls. This policy was violated when Lilo was brought there. They do not typically give up custody of their children to be adopted as a matter of course.
Even though Lilo had been at the shelter for several weeks at this point, the clock was still ticking because the shelter would have to take drastic action if no one adopted her in a timely manner. Despite the fact that she had been there for weeks, the clock continued to go forward.