Compromise is about figuring out how to give everybody what they want while letting go of how it happens. Turning on half the ACs is a great compromise. Whatever happened at the end is not.
To be generous to the author though, I can see how standing up for yourself in this way would feel revolutionary to someone who has never pushed back in their life. Just know this is the first step on a much longer journey. The next step is figuring out what the compromise would have been with the authority figure on the phone.