Unlike many actors, Sarah Michelle Gellar won’t dismiss her past so easily. Going into “Ringer,” her new adventure series (debuting 9 p.m. Tuesday), she’s well aware that her fans from “Buffy the Vampire Slayer” are still out there and very focused.

“When picking a show, I took into consideration who my fans are, because, let’s be honest, I mean, we were a midseason replacement on The WB, based on a failed movie, ‘Buffy the Vampire Slayer.’ If it wasn’t for the outpouring of fans, and the journalists, too, supporting us, we would have been canceled after four episodes,” Gellar told reporters recently.