Rejection?
Is it a rejection e-mail - ie. you are not suitable for Emirates and don't contact them again?
Or did they state you do not currently meet their requirements and keep updating? That would be a very different situation.
Obviously they will interview from the top (in terms of experience) down as number/quality of applicants and recruiting needs vary. So you could meet the mins and not yet be invited in.
I can tell you at the moment it is very fluid at EK and today's hold pile could well be tomorrow's interviews.