The northern part of Cyprus is ALREADY EU territory Georgios. ALL EU decisions consider the administration in the north as subordinate to Turkey, even the recent decision for the compensation committe consider that as instrument of Turkey.
On what grounds do you think the TCs want direct trade with the EU? Because they are something special or because they know they are actually EU territory like the rest of Cyprus?
So the question is why should Turkey continue hold control of an EU territory, (don't even think of the possibility of Turkey to try annexation). The excuse the've been giving so far was for the safety of the TCs. This excuse goes away if the northern part is handled over to Brussels and the Anan Plan demilitarisation scheme is put on work.
Of course there are the stupid nationalistic masses in Turkey who think they "got Cyprus" and that can't be "lost". That's why the wole deal will be staged to appear as agreement between the TCs and the EU to which Turkey simply agreed.