Additionally a Site a collection administrator can delegate for another users.

Another way to delegate is by designing it on your workflow. There is an action named "Delegate..." so as to delegate a specific task.

Take a look at the Nintex Workflow Guide for details.

Yes, you can design it in your workflow....but there have been quite a few people who have approached me about delegating without changing the workflow and without terminating it.

Sorry but I am confused here. Does this have anything to do with delegating tasks?

Be aware that workflow delegation should also be allowed in your Nintex Workflow Management settings in Central Administration ;-)

Nice tip!

There are times when a regular user (not admin, site collection admin or owner) would like to make this change when being out. I just thought it was nice that it was available to them.

You should create a question. This is simply a discussion about delegation.

if anyone is looking for a delete button and can't find it:

You have to click the Task delegated to name and in the following dialog the delegation can deleted.