Our brother David Wood, unfortunately made a big mistake and wrongfully accused Islam of promoting honor killings. Wood went further though, he even misrepresented a hadith as he attempted to convince people that honor killings are allowed, David Wood quoted this hadith:
Sunan Ibn Majah 2540—It was narrated from Ubadah bin Samit that the Messenger of Allah said: Carry out the legal punishments on relatives and strangers, and do not let the fear of blame stop you from carrying out the command of Allah.
This hadith is not about honor killings. David Wood shows his own ignorance and lack of comprehension skills by even suggesting this hadith refers to honor killings. It does refer to legal punishments and teaches us that the elite will be subject to the same law and justice as everybody, this is a fine teaching from which all our societies can learn from