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I have no idea what you mean by: the method is in an Event
There is a java SE class named Event.

You need to make a small, simple, complete program that compiles and executes for testing.

The Timer class would start a method at any later time you want.

Please explain the difference.

I assume you are talking about some shape drawn on the GUI. If not, please explain.
What thread is the method that you want to wait executing on? If its the EDT then you don't want to hold up that...

What event do you want to wait for?