The song was highly inspired by the overrule of Roe v. Wade by the U.S. Supreme Court, as well as hate and troll comments Pink received after she voiced her opinion about the issue.

On June 24, 2022, the U.S. Supreme Court overturned Roe v. Wade in a landmark decision Dobbs v. Jackson Women's Health Organization, returning the power to define abortion rights or restrictions to the states.

[1] The following day, Pink voiced her opinion on Twitter, writing that the people who oppose Roe v. Wade should not listen to her music and instructed them to "fuck right off".

[8] Alongside the release, Pink revealed the cover which is a "blurry snap" depicting her giving the finger;[13] Billboard's Gil Kaufman opined that it matches the song's message.

[11] In the pre-chorus she sings "You can call me irrelevant, insignificant / You can try to make me small / I'll be your heretic, you fuckin' hypocrite / I won't think of you at all",[16] after which she asks people who hide their actions behind Christianity: "Does Jesus love the ignorant?

[6] Good Housekeeping reported that fans were "stunned" by "Irrelevant" and that they "bombard[ed] Pink's Instagram with emotional comments".

[5] Alexa Camp of Slant Magazine was keen of the track, opining that it "channels the scrappy energy and brash outspokenness that helped make Pink a star" which was, according to her, lacking on her past few efforts.

[16] Writing for Entertainment Tonight, Sarah Schillaci described the track as "charged-up";[6] while Dan DeLuca from The Philadelphia Inquirer labeled it as an "emphatic protest song, a rallying cry of defiance in which the singer refuses to be defined by others and works herself up into a righteous rage".

[19] The music video for "Irrelevant" was directed by Pink and Brad Comfort premiered on the former's official YouTube channel on July 18, 2022.