Alicia was a little disappointed that she wouldn't be there to properly supervise him, taking a look back at him a little questioning of the sudden change in development, but her best guess she figured the Director was worried that with both him and her daughter, she'd be too focused on protecting them to carry out her objectives properly. There was a reason the Templar's tried to avoid these situations happening as well. With just Alice to look after, she wouldn't need to split her focus so badly, and could just deal with hostiles. Rebecca could handle herself. Of course, Alicia intended on supporting both of them, however she had to.
Taking a look at Rebecca, Alicia loaded up her rifle. "I'm sure Rebecca wouldn't mind, coming with."