No, it shouldn't bother the Authority. If your child has a Statement, the catchment area isn't really an issue - it's a legal document, the choice of school placement is the parental choice even if they decided to get narky, you can use the Statement to clobber them.
She's staying with her father during the week, she's attending school every day, as long as she's safe & well and showing no signs of distress at the change in her situation, there shouldn't be an issue.