Again, this will depend HUGELY on what sort of role it is (an external-facing vendor, for example, should probably not use something like this). But for many internal requests, it is not power-tripping to ask someone to either redirect their email or wait until a later date to send it.
An Out of office Message is the autoresponder feature within your email settings that allows you to automatically send a response when an email is sent to a specific email address. Typically, businesses will use the autoresponder feature to confirm receipt of an email and to acknowledge and thank customers for an order that may have been placed.

Yeah, I do think some are pretty funny (eg tan lines) and some are not so terrible, but I honestly think she took them incredibly seriously and wasn’t trying to make her colleagues laugh as much as just ….. put out an air of “look how personable and authentic I am”. She also lamented that other people’s OOOs were “rigid” and why couldn’t people have fun?! Which again, sounds not so bad but was someone who would regularly ask prying inappropriate personal questions, so it came across less like “let’s loosen up” and more like “why won’t people tell me the specifics of why they’re off today, because I deserve to know”.
Naturally, she had to take the day off — and couldn’t let folks know with any old generic auto-response. Instead, she made a guessing game of it in her out-of-office email, which you can use for yourself, below.