
Reviewed for patch 7.3d

Favorable matchup
Reviewed for patch 7.3d
Urgot wins his duels by closing in with Disdain or catching you with Fear Beyond Death. Fiora has an answer for that moment: Riposte parries all incoming damage and disables for an instant. Outside those hits, Lunge lets her step in and out of Purge.
Riposte parries all incoming damage and disables for a short time, then stabs in a direction and slows. Disdain is the charge Urgot uses to catch a champion and hurl them: if you see it coming, Riposte blocks the damage of that impact.
Purge slows Urgot himself while he fires at nearby enemies. Lunge carries you forward with a stab: go in to strike a Duelist's Dance Vital and get out before Echoing Flames fires again.
Fear Beyond Death impales the first champion hit and, if their health drops below a threshold, Urgot can execute them. Grand Challenge reveals four Vitals and heals Fiora and her allies if she hits them all: that healing keeps you above the threshold.
The window starts when Urgot spends Disdain. Without his charge, he has to fight standing still with Purge and Corrosive Charge, and that's where Fiora picks when to go in and when to leave.
If you're Urgot, make Fiora use Riposte before you charge: throw Corrosive Charge, wait for the stab and then go in with Disdain. Only keep Purge running while she's close and without Lunge, and save Fear Beyond Death for when her health is already near the threshold.

Favorable matchup
Reviewed for patch 7.3d
Urgot is slow and fights head-on. Irelia goes around him: Bladesurge resets if the target dies or is Marked, so she can hop from minion to minion to dodge Corrosive Charge and reach him while Purge slows him down. Defiant Dance trims his physical damage.
Bladesurge takes you to the target, heals you and resets if the target is Marked or dies to the hit. With low-health minions between Urgot and you, you have several chained entries and exits.
Purge slows Urgot while he fires. That's the moment to go in: Flawless Duet stuns and Marks whoever is caught between the two blades, and the next Bladesurge onto him resets.
Defiant Dance reduces the physical damage you take while you charge the strike. Echoing Flames and Corrosive Charge deal physical damage: charge it when he comes in with Disdain or when his leg cannons go off.
As soon as you have Bladesurge and Flawless Duet, look for the engage when Urgot activates Purge or spends Corrosive Charge. If he has Disdain and there are no minions to dash out on, wait.
As Urgot, push the wave so Irelia has no low-health minions in reach. Throw Corrosive Charge at her when she dashes, not before, and save Disdain for when she runs out of resets. Against Defiant Dance, wait for her to release the strike before you keep firing with Purge.

Execution matters
Reviewed for patch 7.3d
Olaf wants melee range and Urgot wants to control the distance. With Ragnarok, Olaf becomes immune to disables for a while, and that is his moment to go in. Before his ultimate, or if he wastes it, the lane runs through Urgot's tools.
Ragnarok makes Olaf temporarily immune to disables. Activate it when you're going all in, not to escape a bad trade: the rest of Olaf's kit needs him on top of Urgot.
Undertow throws an axe that damages and slows whoever it passes through, and picking it up lowers its cooldown. Urgot already slows himself with Purge: with your axe on him, he has a hard time backing off to poke you with Corrosive Charge.
Berserker Rage raises your attack speed by 1% for every 1% of health you're missing, and Vicious Strikes gives you physical vamp and more healing the lower your health. Reckless Swing deals true damage to the target at the cost of hurting you if it doesn't die.
The condition is the ultimate: once you have Ragnarok, every time Urgot turns on Purge near you is a window. Before that, last-hit with Undertow and don't take long trades inside his range.
Playing Urgot, the key is Olaf's ultimate: while he has Ragnarok available, don't turn on Purge near him. Keep your distance with Corrosive Charge and Purge once he has used it, and fire Fear Beyond Death when his health drops below the threshold, not before.