Your Win Condition
Vayne is an excellent Urgot counter, but is not unwinnable. Your goal is to E-Flash-Q-W run down Vayne completely for a 100-to-zero kill.
General Strategy
Vayne is an ADC Marksman, so she is incredibly squishy. You need to rush Prowler's Claw into Edge of Night. Edge of Night blocks one ability cast on you, which is perfect for blocking her Condemn (E).
Trading Patterns
At any point in the game, if you see Vayne, you should E-Flash-Q-W her. If Vayne is bodying around 50% HP, she should be dead. If she shoots E (Condemn) into your Edge of Night spell shield, it absorbs the ability.
Wave Management
Vayne will always be pushing the wave into you. You want to stay near your tower and hold the minion wave outside the tower.
Their Win Condition
Vayne wins by poking you down and zoning you from minions. She wins by utilizing her Tumble (Q) to dodge your Q.

