If you recall, Awlaki was the US CITIZEN authorized by Obama to be killed.
So, his child was a child of a US citizen born while in the USA, but now living the Lord knows where in Yemen probably.
So, do you have problems with this child being eligible to the presidency. It was BORN IN THE USA to a US citizen.
I have no problem with this child's eligibility, but he's unlikely to get my vote.
The "natural born citizen" requirement is just one of many protections designed to give us a loyal, wise chief executive subject to checks and balances from the Congress and the Supreme Court.