In line with my answer on the related question, I think you are:
I am the luckiest lady around!
Eve was blessed by God to enjoy the pleasures of life and Earth, but you could call His blessing luck. Plus, being made from a rib is pretty lucky.
I am the most constricted of all.
She was tempted by the serpent. Some serpents are constrictors.
I am the richest lady on earth!
Yet I own nothing at all.
Eve was the first woman in her creation story, so she could claim anything she liked. However, the world (and Eve) were really God's creation.
The world bends to my will!
Yet I possess no power.
God gave man (and woman) dominion over all creatures that crawled the Earth, though neither Adam nor Eve possessed any especial powers themselves.
Every girl wishes to be in my place!
But I chose not to come and only leave at death.
Eve was the only woman on Earth, and had all to herself an
Abel ahem, able partner, as well as a garden of paradise to seemingly enjoy forever. Her expulsion from the garden was the first fall from grace of mankind. Outside the garden, Adam and Eve would be exposed to pains, trials, and death.
Who am I?