I don't know how Taliyah works.
Build her full AP?
She has so little range and such weak scalings, you can't get in range without being blown up and even if you get in range, you aren't guaranteed to blow up the opponent.
Build her AP bruiser/tank?
She has decent base damage but her base defensive stats are abysmal. No matter how tanky you build, you won't be truly 'tanky'. I even tried building her tank on an ARAM and it didn't work because of her base stats.
Seems to me the only solution is to play her AD or AD bruiser/tank. She's ranged, good walking mobility, average autoattack animation and significant self peel.

or
or any champ where you just go ham and cheese no break to try and burst them down. She's like
where you kinda play her safe. Q where you can, and kite with w and e as you need to. She's more of a brawly type mage (to me) so I would buy a ROA and rylais to get her decently healthy. She'll be able to kite and stay safe just fine if played properly. Unless you get dogpiled 1v5 then good luck.
and
and blue buff help with that.
or
core (primarily I play her top)
With lots of tanks,
I have not tested but lots of champs seem to love pyrobelt
for mana sustain.
b)