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I don't recall a story in which Demeter punished the Earth.
she made snow like the season winter
It has never crashed into Earth before and won't in the future. It will be seen from Earth again in 2061, but it won't be close enough to cause any danger to Earth. It will be tens of millions of miles from Earth.
if you are talking about goddesses, then you are probably thinking of Demeter, the goddess of crops. but if you are thinking of any mythological beings, then it is Gaea, the first Entity alive.
Volcanoes
The crops.
Demeter is a goddess of agriculture, grain, and bread. That which grows on earth and is eatable was her domain.
water and wind
The crops, and growth in general.
I don't recall a story in which Demeter punished the Earth.
He felt upset that Demeter froze Earth and wouldn't unfreeze Earth.
Greek: deo - earth meter/mater- mother Demeter. Earth Mother
Demeter and Persephone were both goddesses of the earth. Gaia (Earth) through her daughter Rhea, who was the mother of Demeter and grandmother of Persephone.
Demeter is the Greek goddess of earth and harvest.
Demeter falls into a deep depression, and wanders the lands in search of her daughter. When she finds out what actually happened, she refuses to let anything grow upon the earth, and the earth falls into Winter, until her daughter is brought back to her again.
Demeter brings forth the fruits of the earth, particularly the various grains. She taught mankind the art of sowing and ploughing. I am not sure I have understood your question. You could ask again using other words.
The powers of Demeter is fertility, grow plants and make rainfall. Demeter is also the goddess of abundance and comfort.