How do I add a delay to an animation that is triggered on click?

Are you changing objects from hidden when you press the button, if they are chained animations perhaps put them on a layer and then show the layer

ohwg​ : You said you wanted animations to run in sequence after the user clicks a button. I'm assuming these are Entrance animations.

When objects are staggered on the Timeline, they will appear as the Timeline runs. Exception: If an object has an Initial State of Hidden, it will appear when a trigger changes it to Normal or another visible state.

Depending on what else happens on the slide, you could do this: 

• Add a trigger that pauses the Timeline right before the first objects appear on the Timeline. 
• Add a trigger that resumes the Timeline when the user clicks the button. That will make the objects appear as they are staggered on the Timeline.

Another option: use a different "when" for each point in the sequence.

For example, trigger the 1st two animations when the user clicks the button. If that's a 1-second animation, the remaining animations could be triggered when either of those animations completes.

Another way to "time" triggers:

• Add a shape off the slide. (Be sure to remove it from the focus order.)
• Give the shape a motion-path animation that lasts for the desired duration.
• Trigger that motion-path animation when the user clicks the button.
• Trigger the other animations (or whatever action is desired) when the motion-path animation completes.