It must be noted that, since she is playing herself, Sarah Michelle Gellar is not Raj Koothrappali's (Kunal Nayyar) date to the Nobel Prize ceremony...despite his attempts to hold her hand. Afterall, the actress has been married to her "Scooby-Doo" co-star Freddie Prinze Jr. since 2002, and likely wouldn't ditch him for an awkward astrophysicist that she met on a plane.
Still, the marital status of Gellar isn't the only reason that Raj is the only single one when "The Big Bang Theory" ends. Executive producer Bill Prady told Glamour, "Raj continuing to look for love is more satisfying to me than him finding someone neatly at the end of the series. The decision to say, 'I'm going to wait for the right person, and I believe the right person is out there,' is a really cool ending. I love that we kind of leave the characters where we've known them to be."
The series finale truly shows the character growth of Raj. Once upon a time, he was desperate for companionship, and even considered Lakshmi Choudry's (Chriselle Almeida) marriage proposal. In the end, not only does he boast more self-worth, he's able to speak to women (and invite Sarah Michelle Gellar to an event) without being intoxicated.