As much as Jinx is about her guns, I don't feel like she would deliberately shoot someone.

I feel like the only time Jinx would kill someone would be: a) indirectly by blowing something up and killing people as collateral damage. b) in a spray of rapidly, randomly fired bullets as she flees police. c) indirectly by some elaborate means (i.e. suspending someone over a vat of boiling oil and slowly lowering them as Caitlyn & Vi frantically try to locate and save them).

I feel like even if she was in a one on one fight with Vi, she'd just mess with her. Batter her with a barrage of concussive explosions or ding up her armor/gauntlets with her minigun.