The limited series, in which the actress stars as convicted murderer Pam Hupp, is refreshingly weird.

And thank the TV gods for that.

At first, the show comes on a little strong with the whimsy.

The Thing About Pam

Renée Zellweger in ‘The Thing About Pam’.Skip Bolen/NBC

“I’m a pillar of the community!”

she squawks in her Midwestern twang, giving us an exaggerated wink.

It would take years and another murder for the truth to come out.

The Thing About Pam

Renée Zellweger and Josh Duhamel in ‘The Thing About Pam’.Skip Bolen/NBC

Too often, there’s a queasy note of apology running through these true-life adaptations.