God's Compensation/Lore/Trigger natural phenomenon
With enough focus, a demigod can cause a very small scale natural phenomenon to happen. This power can only be used to cause things to happen that would happen naturally. About all that the demigod alters with this power is the timing at witch that event happens, or stacking the probability of an unlikely event in favor of what they want.
Skilled/intermittent level applications of this power include the ability to make flowers bloom or make a person hiccup. If someone happens to have a full bladder, they can either increase their ability to hold it in or make the person's muscles go lax so that they loose control and wet themselves.
At advanced levels of skill with this ability, the demigod can alter the probability of a die roll or coin flip coming up in their favor, or even trigger glands in the body to secrete their hormones. If the demigod has knowledge of anatomy and physiology, they can use this ability to trigger puberty in a pre-pubescent individual, cause a female to ovulate, ensure conception or the lack there of, or trigger an orgasm in males or females without any direct stimulation other than the use of this power.
This power has the most advanced range of potential applications. Even a demigod can achieve greater-god level feats with this power so long as they are close enough in distance to the thing they are triggering and they have enough advanced knowledge and skill to pull it off. Knowledge is the force multiplayer behind this ability, and anyone can have knowledge even without high-level divine power.