Their child, named Mayday Parker, would go on to inherit her father's superpowers, as well as his legacy, making her a very important character in the future of the Marvel Universe.

Source: https://www.cbr.com/marvel-best-what-if-comics-non-canon/

While Aunt Lydia is already starting to doubt Gilead's beliefs in season 5, she's still far from becoming a mole for Mayday.

Source: https://screenrant.com/handmaids-tale-season-6-aunt-lydia-june-more-important/

With a creative team featuring Tom DeFalco, Ron Frenz, Matt Webb, and Chris Eliopoulos, Mayday Parker became Spider-Girl, even inheriting her own comic book several years later.

Source: https://www.cbr.com/spider-man-spider-verse-variants-comic-appearances/