Maybe they're still miffed that Benedikt opposed their entry into the European Union, on the petty, pedantic grounds that Turkey isn't part of Europe (which a glance at my map of Europe seems to confirm)?

Culturally and geographically they are not part of Europe.

If they would allow religious freedom, restore the Hagia Sophia to the Orthodox Church, and fix the wrongs of the Armenian genocide, then YES, let them into Europe. (my personal opinion)

Conde:

The Turks are not "descended from Greeks" in the slightest, they are descended from Mongolian nomads who entered Asia Minor in 1071 and subsequently eliminated the indigenous Christian population over a thousand year period, culminating in the Armenian Holocaust and the Constantinople pogrom of 1955. Don't inadvertently aid Turkey's genocide denial campaign.

Paul:
Firstly - whether or not Anatolia, the land mass, is on the European continent is immaterial (but you're wrong anyway) - what is relevant is that Turkey is not a European society is the same way the New Zealand is not a Polynesian society despite being physically located in Polynesia. It is an Asiatic society on "European" soil, at best.

Secondly - if you honestly believe that the illegal occupation of Cyprus (and the displacement of 200000 refugees), continued denial of the Armenian Holocaust, and nonstop brutalization of Kurds (50000 of whom were murdered) are "petty" reasons to be an opponent of Turkey's ambitions then I can only pray for your soul.