Is it permissible to kill the dog?

In the enquired case, it will be permissible to kill the dog but the most suitable method of killing the dog should be implemented which is having the dog slaughtered. If slaughtering the dog is not an option, then such a method should be used whereby the dog experiences the least amount of difficulty. Therefore, the dog should either be shot in such a place whereby the soul departs immediately, or such strong poison should be given to the dog that results in the dog dying immediately. It seems that there is concession for this as well. [Re:- Fataawa Ibaadur Rahmaan Pg.334 Vol.7]

Putting your life into jeopardy in order to protect the life of a dog is not intelligence. If the dog passes away due to being knocked then this was destined. [Re:- Fataawa Ibaadur Rahmaan Pg.269 Vol.7]