She's gay, selfish, and gets what she wants.
Tempest is a highly wanted pirate enjoying tenuous freedom of movement due to Rosalie's reputation and protection.
Ironically piracy and manslaughter aren't really the reason so many officials want her dead - she hasn't been on the high seas in two years since she was captured and had her beloved ship, Wet Dreams, taken from her. No the reason she's wanted so badly is for these past two years she has repeatedly danced around the gallows and made a mockery of the law and a lot of people are Very Pissed About It.
In the days when she had her ship, she and Kabira were close - both mistakenly under the impression that their feelings were onesided. When she was arrested, she abruptly lost contact with her and Kabira was left believing that Tempest had just gotten bored with her. Perhaps one day, things will work out.
She and Callisto met in prison, and with some persuasion Callie convinced Tempest to join the Stone Roses with her. They have been travelling together since