Kara is currently unemployed or on an extended leave I think. Her last job was at Steelworks where she taught children from a-town.

Her Job History off the top of my head:

barista (Supergirl (2011) #34)

student advisor/counselor ( Superman Family #165)

soap-opera actress (Superman Family #208)

magician’s assistant (adventure comics #359)

daily planet intern (Supergirl (2005) #65)

Gotham Gazette Reporter specifically not the entertainment section (Convergence Justice League #1)

Cameraperson (Adventure Comics #406)

Photographer (In Superman’s Pal Jimmy Olsen #75 she take Jimmy’s job at the daily planet and modern comics depict him as a photographer.)

Teacher’s assistant (Supergirl (1982) #3)

She had this weird tech/science internship thing that kinda became a like a reporter under Cat Grant in rebirth? Idk I think editorial messed with Orlando’s work A LOT.

Kara also has sold alien tech for money. Bruce and Diana also gifted her an apartment and bunch of money post-return. Both of these are confirmed Supergirl (2005) #9.

My OC and other dc heroes