Question: I am the luckiest lady around!  

I am the most constricted of all.

I am the richest lady on earth!  

Yet I own nothing at all.

The world bends to my will!  

Yet I possess no power.

Every girl wishes to be in my place!  

But I chose not to come and only leave at death.

Who am I?

Related:

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> [The Happy Prisoner](https://puzzling.stackexchange.com/questions/28595) 
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Also

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> The title is a pun, but I doubt anyone will catch it.
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Answer: 
You could be

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> Queen Elizabeth II
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I am the luckiest lady around!
I am the most constricted of all.

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> Many people consider coins good luck, her portrait is on British coinage. As a portrait on a coin she cannot go anywhere so she is very restricted. Also, she herself is lucky to be the queen, but she is restricted in the things she can do by her station.
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I am the richest lady on earth!
Yet I own nothing at all.

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> Again, as a portrait on a money, she "has" lots of money yet doesn't own it. Also, as queen she is wealthy, yet her wealth ultimately belongs to the British nation.
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The world bends to my will!
Yet I possess no power.

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> The world's behavior is influenced by the money with her portrait on it. Yet as queen, she's a figurehead that doesn't have political power.
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Every girl wishes to be in my place!
But I chose not to come and only leave at death.

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> Every girl dreams of being the Queen. However, the Queen was born into her position and didn't choose it, and will be Queen until her death.
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The title is a pun, but I doubt anyone will catch it.

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> The "tail" in the title refers to the coins that bear her image. Also "catch it" might be referring to catching a coin after it is flipped in the air.
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In line with my answer on the related question, I think you are:

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>  Eve
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I am the luckiest lady around! 

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>  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.
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I am the most constricted of all.

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> She was tempted by the serpent. Some serpents are constrictors.
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I am the richest lady on earth!  

Yet I own nothing at all. 

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>  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.
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The world bends to my will!  

Yet I possess no power. 

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>  God gave man (and *wo*man) dominion over all creatures that crawled the Earth, though neither Adam nor Eve possessed any especial powers themselves. 
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Every girl wishes to be in my place!  

But I chose not to come and only leave at death. 

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>  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.
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Who am I? 

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> Eve
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Related:

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>  <https://puzzling.stackexchange.com/a/28997/11452>
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