I don't think we've ever discussed Might as a transferable resource. It can be exchanged from Might to Free Points and vice versa, but that's a purely game aspect. When it comes to heroes and demigods, the only examples of 'positive Might transferral' we have is where a god uses Might to strengthen (i.e. level up) a hero or demigod or blessing them (and blessings have never specifically been time-limited, though each god can do what they like with each unique blessing. And this applies to curses etc.)

Termite compared Might to effort and exhaustion - that is indeed one possible, though not strictly necessary, aspect. But it is also 'divine energy'. So it is not enough that a god should become exhausted after a certain action, there must be usage of divine energy. Whether that divine energy is something gods are aware of has not been canonised methinks, and whether it can be transferred in its pure form to another god or being has not been canonised either. I would say if you do wish for it to be possible, be certain to construct it very carefully.