The people who's egg DOESNT hatch are nicknamed No-El's. These children have not discovered their power/s yet.
It is actually really rare to discover your power and purpose at birth (of course the babies dont know their purpose, but the gods decide) Most children are a No-El for atleast 3-6 years.
Now you may be wondering about the elements. You can either inherit your mother's element, father's element, mix of theirs, combination of theirs, or some close-ish relatives elements.
Let me explain. Pretend you have a water mother and a wind father.
You could get:
water,
Wind,
Mist (it's a combination of both)
Or
Water/wind (you inherit both but it's like half half powers)
It is possible to have your sprite hatch and NOT know your element yet. Since genes are so messy you might already "have" a power, you just cant figure it out yet.
Also people in this world have super super drastic appearances that match their element (that also helps when you dont quite know your element yet, looking at what your appearence suggests)
No-Els have boring appearences. When the gods finally choose their destiny and their egg hatches, their appearence will match their power they just discovered.
I dont think I'm making any sense oh my goshhhh.
Btw sprites are spirit guides. They make sure you achieve your destiny. That's why the gifs gave the power to the gems. So that they could make sure everyone follows their fate
Okay sorry for this long thing-
I probably over thought this :]