No, it doesn't do any such thing. Show where any plausible definition of the term natural-born citizen makes any mention of marriage.
Obama has a legally recognized father. That is sufficient proof of paternity under the law. That this legally recognized father was never a citizen, just a student here temporarily with no permanent domicile, creates numerous areas of doubt regarding Obama being a natural-born citizen.
It matters not one whit, whether Obama, Sr. had a tribal marriage in Kenya and honestly it doesn't matter if he was even the biological father. Legalities are what governs the matter, and legalities say Obama, Sr. was his father. Our President has accepted this as fact in a highly public manner, having published a book he presumably authored that spends a great deal of time and energy on this very subject.
Again, legally speaking, there is no doubt about who Barack Hussein Obama's father was, under the law. Everything else is just more smoke and mirrors.