@ProfRob's answer to Is it coincidence that the earth's rotation and revolution are in the same direction? explains several important aspects of models for planetary formation, angular momentum and vorticity.
I love our planets and don't mean to disrespect them, but it's a small and quirky dataset.
So I'd like to ask:
Question: What will it take to start measuring the rotation rate and direction of exoplanets? Which instrument(s) current or future are most likely to do it?
Are there current or future instruments that mention this capability as part of their goal? How might it be done?
Feel free to answer for "rate" and "direction" seperately of those measurements can be approached differently.