After the Prof interview you, he/she will fill a interview form and submit to admission office, the admission office will once again review every qualification of candidate to see whether meet their admission requirements, if yes, then they will give you offer.
PS: in the interview form, the prof will give a overall impression on you and tick options such as Strongly Recommend, Recommend or Not recommend.
A quick question regarding testing scores, is it a big concern to submit a overdue GMAT scores? I have got one taken back in 2010 seem past their "within 5 years" limitation. But really do not want to retake one.