There a number of issues regarding this shootdown still not widely discusssed and among them.
Russia claims it gave the location and flight patterns of their aircraft in the region prior to the airstrike to the United States of America. Putin has suggested the US then gave this information to the Turks who were then prepositioned to strike,
The report by Turkey to the UN claimed a penetration 1 mile deep into Turkish airspace and 1.5 miles across. In order to travel that distance in 17 seconds the Russian aircraft would be flying around 240 mph which is stall speed. If the aircraft was traveling at its regular speed when used in combat the time in Turkish airpsace IF it entered the same would be some 5 seconds.
A US source leaked to the press that heat signatures show that the Russian Aircraft was in Syrian airpsace when struck. This interesting as they leak this information even as the President and other officials publicly give support to Turkish actions. The Russians have also indicated that their own tracks and show Turkey was in Syrian airspace for 40 seconds.
The Turkmen leader who issued a video statement claiming his groups executed one of the Russian pilots is in fact an ethnic Turk. He is the son of a mayor in Turkey and a member of the Grey Wolves which is an ultra nationalist group.
The Russians have asked Turkey to provide recordings of the claimed warnings made to the Russian plane. The Russian survivor claims no such warnings received even as Turkey claims they went on for 5 minutes. Turkey refuses to turn over those recordings.
Turkey is unlikely to have launched this attack without tacit US support so why would the US want it and not want it at the same time? Interestingly the US has been opposed to Turkey allowing Russia to build a pipeline through its territory and into Europe as they do not want Europe yet more reliant on Russian Gas. That project has been cancelled due to this airstrike.
Note also that The US would really like a Kurdish State in the region. They feel this can act , like Israel , as another land bridge into the region as an independent Kurdistan would be more then a little willing to invite in US forces for defensive purposes. This would allow the US to maintain a military and friendly state on the borders of Turkey Iraq and Syria and thus exert dominance. Russia, prior to this incident would not have supported such a move. Russia has now hinted that just as Turkey supplies arms to Tatars in the Crimea and into Armenia , Russia is prepared to arm the Kurds.
When Saddam Hussein was preparing to invade Kuwait it was reported he met a US Official and was given the green light to do so. The US then used this as pretext to attack Iraq in Gulf War 1. It more then a little likley Turkey was played here by a duplitious US Government.