Unfortunately you can't use REST query on status field, because the type of the field is choice. In SharePoint it's not allowed to create a lookup to point to the choice field, this is root cause of such behavior.
But hopefully it is possible to use lookup with calculated text column.
So you can workaround your issue by creating calculated column inside Client list, say
StatusCalc with formula
=Status. The main purpose of this field is simply showing the value of corresponding choice field.
Now you can use REST as following: