Kara Zor-El

Kara Zor-El (or Supergirl) is the main character on CW series Supergirl. She also appears in fellow CW shows, The Flash, Arrow, and Legends of Tomorrow.

Character
At 11 years old, Kara was sent to Earth in a pod by her parents, to avoid dying in the destruction of Krypton and watch over her infant cousin, Superman. A meteor hit her pod and she was stranded in the Phantom Zone for many years, only to be released eventually by the activities of Indigo, an evil synthetic life-form.

Kara was met with a grown Superman upon her crash on earth and he found a family to adopt her, leaving Kara without a mission to mourn her parents and the destruction of Krypton, and figure out how to live a new life on Earth.

As an adult, Kara takes a job as an assistant to a media mogul in National City and eventually develops a taste for journalism herself. At work she also meets and grows close friendships with James Olsen and Winn Schott. Her sister Alex facing imminent death in a plane crash causes Kara to reveal her powers and take up the mantle of Supergirl.

Canon
James Olsen

Kara and James meet when he is offered a job as head of the Art Department at Cat Co. and Kara is instantly taking by his kind nature and warmth. She immediately gets a crush on him, but doesn't reveal herself when James' ex Lucy Lane comes to town and the two reconcile.

Mon-El

Het

 * Karadam – the ship between Kara and Adam Foster
 * KaraMel – the ship between Kara and Mon-El
 * SuperArrow – the ship between Kara and Oliver Queen
 * SuperFlash — the ship between Kara and Barry Allen
 * SuperGuardian – the ship between James Olsen and Kara
 * Winnzor – the ship between Kara and Winn Schott

Femslash

 * Snowgirl — the ship between Caitlin Snow and Kara
 * SuperCat – the ship between Kara and Cat Grant
 * SuperCorp – the ship between Lena Luthor and Kara

Family

 * Kalex – the ship between Kara and Alex Danvers