Alien: Covenant goes to great lengths to establish the fact that David is the creator of the Xenomorphs.
It’s a fantastic moment, but it also seemingly creates an enormous anachronism for Prometheus, as that movie featured a mural on LV-223 that appears to show fully formed Xenomorphs.
This means that the Engineers apparently knew about these creatures long before humans arrived, meaning David couldn’t be the creator of the alien in the way that Covenant would suggest.
His talk of selective breeding would make Reginald Punnett proud, and the sequence in which the chestburster murders its way out of Oram’s (Billy Crudup) breastplate is played by Ridley Scott and the actors as the birth of the first of these terrifying creatures.