30 Rock: What Does Liz Lemon Want?

I know Liz Lemon is supposed to be a cartoonish exaggeration of a single career woman, but from these two scenes from last night’s 30 Rock, are we supposed to come away thinking Liz Lemon hates sex or is asexual or something? It seems like it:

(Bad editing is me, not the show, btw.) So is Liz Lemon the new Morrissey? (You know, because Morrissey loves lying around in his comfies reading celebrity gossip on the internet.) But seriously (or “seriously”), is this a setup for someone sweeping her off her feet? (Like Jack?)