He was quite quick to grab one (a gun) at the end of Dalek, but now he's more critical of them.
For fans of the original series, that moment beautifully spoiled most of the time war plotline before the official reveal. The Doctor has always hated guns, but seeing a living Dalek broke him.
Spoilers for The War Doctor and "Genesis of the Daleks" plots.
The Doctor's greatest sin is starting the time war, (Genesis of the Daleks) when the Gallifreyan's sent him to prevent the Dalek's ever being created. His second greatest sin is failing to get the job done.
We have known since those two 4th Doctor plot points that the Daleks were probably destined to destroy Galifrey. (The War Doctor plotline)
But the doctor picking up a gun so quickly upon seeing a living Dalek - pretty solidly confirmed it had already happened.
Just remember that there are no nice reasons why they are working this hard to keep your phone captive.
We can argue about how bad it will get, but there's only worse things coming from this effort.