Temperature and tint are effectively separate controls: temperature adjusts the blue–yellow balance, while tint adjusts the green–magenta balance. Because they combine in the final result, there isn’t a strict technical requirement to move one first.

That said, many photographers find it easier to set temperature first, then fine-tune tint. This matches the order used in tools like Adobe Camera Raw and is a practical workflow because warm/cool balance is often easier to judge first, while tint corrections tend to be smaller and more corrective.

A common approach is:

1. Set temperature for the overall warm/cool look.
2. Adjust tint to remove green or magenta casts.

Another good option is to use the white balance eyedropper on a neutral area first, which can automatically set or help set tint and temperature, then refine temperature creatively afterward.

So: the order does not technically matter, but temperature first and tint second is a sensible, common workflow.