Perry felt the nullification of her power an sighed sounding a bit like a deflating balloon. It wasn't as if this was her first time to be so stripped for her mom used it as a form of punishment when Perry did something wrong. 

Thinking back on it made Perry understand why Zeus overthrew great grandfather's rule, he too had tried to quash his children's power less they become more powerful that was he; he failed miserably.

It wasn't so much the loss of all power that annoyed Perry but the loss of her wings. As an Air Goddess being grounded was tantamount to being condemned. 

To not be able to spread her wings and fly or to know that if she needed to escape any terrestrial attack that she'd need to run like some frightened doe before the dogs of her hunter made her annoyance worse.

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"To prove that you are worthy of your weapons you must research them. Tell me why that weapon is the best weapon for the god you wish to become. Remember you are weaving your god threads. Be careful of the choices you make, we wouldn't want your story to unravel." Said Clotho explaining the weapon quandary.
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Perry stands and assumes her most perfect posture for speech and begins her explanation

My Bow Known as Arbitrator is a gift chosen for me by my Uncle Hephaestus God of the Forge and Artificer of the Gods of Olympus.
Arbitrator is special to me and a symbol of failure in my sphere of Divine power. 

To fully understand what I mean by saying Arbitrator's use means failure first we must examine her name and it's meaning.

Arbitrator, her name means an independent person or body officially appointed to settle a dispute. This describes a nonviolent method of resolution usually through discussion and debate not by force of arms.

As I will be the Goddess of Debate, Rhetoric, Persuasion, Seduction and attendant to Aphrodite I abhor violence and hope to never use Arbitrator in war still love her for her ability to remind me that in negotiation one must also have the power to support their argument.

Arbitrator is a bow because I am an Air Goddess and as such may take advantage of height and distance to engage my targets, if she were an edged weapon I'd not need nor long have my wings.