Did some research,
GCU has a rolling application deadline which means they make decisions as they receive applications. A college with rolling admission typically accepts applications for as long as spaces are available and students usually learn of their decision within as little as two months. Places are filled on a first-come, first-served basis though, so it probably makes sense for your daughter to apply as soon as possible.
You should also keep in mind that while there may be no application deadline, there typically are deadlines for scholarships, financial aid and housing. In this case, the early decision deadline is November 1 and it might be worth calling the school's Admissions Office for more information on these deadlines: their number is 1-800-800-9776.