What happens first and the end of your turn?

[Degwerks]

Say you have Blink cast on yourself and you're fighting an enemy with Legendary actions. You roll to see if you Blink out and you do, but does that mean that the creature can get in their Legendary action before you can Blink?

[BRC]

Legendary Actions take place between turns, interrupting the normal initiative order.

So, the end of your turn (and the Blink Roll) resolve normally before the Legendary Action.