God has the right to do whatever He wants with a man.

It was prophesied that someone (not necessarily Judas) would betray Christ. I don’t think that Judas was a particular individual that was predestined to betray Christ. 

I think that in time, a man with a deceitful heart was chosen, a man who was unfaithful, a man with a murderous heart, (and we know there’s always plenty of those around), and he was chosen to betray the Christ. 

In this sense, prophecy would be fulfilled, and the man with the deceitful, unfaithful, murderous heart (which happened to be Judas), betrayed Christ and received his just judgment for being a deceitful, unfaithful, thieving, murderer.