NEW YORK (CBSNewYork)David Letterman felt like his late-night CBS show should’ve gone to a woman.

“I couldn’t care less about late-night television. I’m happy for the guys, the men and women – there should be more women, and I don’t know why they didn’t give my show to a woman. That would’ve been fine,” Letterman told NBC News. “You know, I’m happy for their success and they’re doing things I couldn’t do, so that’s great.”

Letterman retired last May after hosting the “The Late Show” on CBS for 22 years. Stephen Colbert signed a multi-year deal to take the mantle and premiered the revamped “Last Show” in September.

Letterman admitted that he doesn’t miss sitting behind the “Late Show” desk.

“No, you know, I don’t. It’s interesting, I thought for sure I would and then the first day of Stephen’s show, when he went on the air, an energy left me and I felt like, you know, that’s not my problem anymore, and I’ve kind of felt that way ever since,” he told NBC News. “I devoted so much time to the damage of other aspects of my life. The concentrated, fixated, focusing on that, it’s good now to not have that.”

Prior to CBS, Letterman hosted “Late Night” on NBC for 11 years.

Over 33 years, Letterman’s shows received 16 Emmy Awards and 112 nominations. “The Late Show” received nine awards and 72 nominations, “Late Night” received five awards and 35 nominations, and the 1980 daytime “David Letterman Show” won two awards and five nominations.