Actually there would be nothing inconsistent about a patch of darkness blocking visible light and heating things. It is happening even now for real, ever heard of pollution?-p Some studies say the world has become dimmer for it in recent decades, and... ...I think it might be best not to discuss global climate change on public forum in internet... I've seen where it can take you.
Dark things absorb visible light and heat up, releasing IR radiation. All very real-life physics, not many inconsistensies.
Except, of course, that magically created second sun and forced eternal darkness.