How do I tell if a window I have is tempered glass? (I need to cut a hole)
Since you clearly are  not interested in advise on how to accomplish your task and you only want to know if your glass door is tempered or not AND since we can not answer this question for you then here is a test you can perform. 

Step 1, - Cut a hole in the glass of your door. 

Step 2, - After the glass breaks, look at the size of the pieces. If it shatters into a million little pieces it is tempered. If it breaks into larger jagged pieces and shards it is not tempered. 

You can avoid steps 1 and 2 if you like and proceed directly to step 3 but this will result in you not knowing if your glass is tempered or not 

Step 3, - Buy a new door with a half-length window and cut a hole in the non window section. 

(This test is for entertainment proposes only, mostly mine although I am sure those who have been tersely rebuked by you for offering advice will probably get a kick out it. IF you do perform this test then I am not responsible for you breaking your glass, cutting yourself or feeling embarrassed for not taking advice offered.)