To me, "real" Agile is important, and my primary interest is in the good effects that real Agile has on the development team, not just advantages to the company. That might make my preferred presentation unpalatable to a company trying to get transformation business.
(I am also famously skeptical about "transformation". It sells well, and will continue to sell well for a while, and it can provide benefits to the organization. I do not think it is usually good for the people, and that troubles me. Many people disagree with my views there.)
To me, the essence of Agile is of course the Manifesto, so I'd riff at least on the values and what they really mean. I might not hit all the principles, as that would make for a boring talk, but I'd probably refer to some of them in passing, while presenting a different arc.
I would certainly point out that working software comes up about 61 times in the Manifesto and that's because it's far more important than most people seem to realize.
I'd focus on the iterative cycle of considering a small part of the problem, producing a real working solution in a week or two, and then using that growing solution to guide thinking on what to do next and how to improve it. I'd emphasize that the most famous framework demands a running tested increment every Sprint, and admonish them that they need to learn how to do that, because it's critical to Agile really working.
Some, of course, don't know this, or disagree with it. This is the biggest, most pernicious, mistake in hawking Agile. Since this is my answer, I get to focus on what's important.
Did I mention that the Manifesto mentions working software about 531 times? Well, it does and that's for a reason.
I'd of course outline how things would work, according to the one or two framework options I'd be selling. Sprints/iterations, or a more continuous flow kanban-like thing. I'd want to focus on cross-functional, self-organizing teams, and on pushing real product decision making down into the development teams.
A lot of the session, even in an hour, I'd probably dedicate to questions.
And, with only an hour, if it's important, I'd want to have already talked with some of the key participants and built up a real sense of their particular understanding and interests, since we only have an hour and want to hit what they need to hear.
Ron Jeffries
I try to Zen through it and keep my voice very mellow and low.
Inside I am screaming and have a machine gun.
Yin and Yang I figure.
-- Tom Jeffries