Amid its all-singing all-dancing musical spectacular, Star Trek: Strange New Worlds quietly drops a bombshell. Season 2, Episode 9 "Subspace Rhapsody," follows up on the scorching chemistry between La'an Noonien-Singh and James Kirk, only to reveal why such a union is impossible. During the show's timeline, Kirk is with Carol Marcus, whom he reveals is pregnant with their son David.
Source:https://www.cbr.com/star-trek-strange-new-worlds-kirk-love-life-failure-carol/