Throwing Dagger
Got hit pretty hard, and it hurts Jing Wei's clear a little bit. Still need this for the clear though. Most likely always start this, with some pots (2 Green, 1 Blue [Jing Wei doesn't really have Mana issues, unless you're spamming Explosive Bolts to clear lane])
Warrior Tabi
Pretty basic. Damage and movespeed. These over Ninja, because when you all in with your combos you get attack speed anyway, need more damage.
Ichaival
Cheap slight power spike, good pen, good attack speed, more chances at crits.
Asi
Another cheap item, more attack speed, lifesteal, and more pen, because Jing Wei has a really hard time taking out anything tanky, though she got better with her recent 3.7 buffs.
Deathbringer
Not much to say here, gives power and 20% Crit.(40% crits when you do crit)
Rage OR Malice
This purchase is COMPLETELY dependent on how you're doing. Normally you'll go Rage, since it's a cheaper buy, but if you have enough gold after you purchase Short Sword to get Malice, then get Malice first, then Rage. Sell Throwing Dagger and buy what you didn't buy first after.
If you think that you still need throwing dagger with Jing wey because of the push it gives you then it's okay, but keep in mind it's nerf, 0% crit chance.
The nerf hurts a lot, since you aren't getting lucky crits in early skirmishes, along with clearing. But her clear is still pretty bad, so it's still the best to start with IMO.