Display an overdue task on task list

I currently have a task list (displayed below) that I want to convey a way to represent that it is overdue. I don't want to add too many icons such as warnings etc, so I figured the best way may be to highlight the date in red, and when you hover over the date a tooltip displays that states "This task is overdue!".

Was wondering what may be a better way to show this state. Perhaps also include the task-state icon to be red?