Should the sun rise from left or right side?

I'm making a widget for a strategy game that displays the sun in its background and you can see it rising, moving across the widget and setting as time passes.

The sun rises from the east, on the vast majority of world maps, that's to the right.

It would then make sense that I'd make it rise from the right and set to the left. However, it irks me that this visual indicator of time goes counterclockwise.

When the simulation is sped up the movement is quite noticeable, the time readout says time is going forwards but my lizard instinct says I'm traveling back in time.

What do you think?

a) Would it be better to resemble nature from right to left?

b) Would it be better to resemble a clocks motion from left to right?