Sheldon and Amy’s relationship was one of the main plotlines of Big Bang Theory throughout its 12 seasons. Neither Sheldon nor Amy were looking for love when they first met in fact, both agreed to a blind date purely to make someone else happy. However, by the end of The Big Bang Theory, “Shamy” was a fan-favorite couple. Seeing Sheldon and Amy move in together, get married, and start a shared life over the course of their relationship was incredibly heartwarming, and while their dynamic was certainly unique (coming as it did with a contract and scheduled intercourse), it made them one of the most endearing TBBT couples.

https://screenrant.com/the-big-bang-theory-sheldon-amy-relationship-timeline-each-season/