Continuity mistake: Just before both Terminators are thrown in the bathroom, the T-850 grabs the T-X by the shoulders, but in the next shot it's by the arm.
Continuity mistake: After Kate's dad gets shot at the base the blood and the wounds and the holes in his jacket disappear.
Continuity mistake: The hook for the crane alternates between secured and free between shots. Also, the crane boom switches positions between shots too quickly.
Continuity mistake: When the T-850 tosses John off the hood where he was pinned down, the hood is undamaged. When the 850 started to beat on the truck, it was already damaged before he started.
Continuity mistake: When John is in the cage Kate threw him in, they hear a crash, and he starts to sit up. The next second, his left arm is suddenly along the side of the cage.
Continuity mistake: When the TX is driven into the wall at the vet clinic the parked car gets knocked into the gas tanks and there's a massive explosion. A few scenes later the TX drives the crane out of the yard where the gas tanks were. The crane is in pristine condition and showing no damage from the explosion, despite being parked behind the gas tanks.
Continuity mistake: When John, Kate, and the Terminator arrive at the crypt we get a close-up of the memorial plaque. There is a visible seam or crack in the marble that runs behind the plaque and there are no other seams or cracks visible for several inches all around the plaque. Right before the Terminator punches through the marble, you can see that there is now a seam or crack in the marble just above the plaque, and nothing running behind it.
Continuity mistake: When Arnie is carrying the coffin full of weapons from the mausoleum he has the coffin on one shoulder, then in the next shot he is carrying it on the other one.
Answer: He didn't program the Terminator, she did - remember, John is dead, successfully eliminated by that very Terminator. As to why she didn't program the Terminator to obey both of them, that's an open question - possibly she needed to supply a voiceprint which obviously couldn't be obtained from the deceased John (which would also explain why the Terminator in T2 appeared to only be programmed to obey John, not both John and his mother). Alternatively, it's plausible that the Terminators can only be programmed to obey one individual, in order to prevent problems in the case of conflicting orders.
Tailkinker ★