Whereas; she loves the show enough that this would complete the other tit-for-tat the same way one was when Mariska Hargitay named a cat "Karma" after Taylor's song (not just because of the song and the other cat but that song has the lyric "Karma is a cat purring in my lap 'cause it loves me")  because Taylor named a cat after Olivia Benson (as Mariska Hargitay was also one of the many celeb cameos in Taylor's star-studded "Bad Blood" video)

Whereas; she's big enough that despite her new announced album (that's got Screenrant worried if this could ever happen at all hence why I'm making this petition) SVU could probably make room for her whenever she wanted because she's Taylor freaking Swift

Whereas; given the magnitude of guest star not just this show but this franchise has if the whole franchise can have so many Broadway stars playing original non-Broadway-star characters on New-York-set cop shows that either Broadway in that universe looked very different or there's a statistically ridiculous number of Broadway star dopplegangers in that New York whose resemblances go uncommented on and if Criminal Intent can have Colbert on while he was still iirc famous from The Daily Show and SVU can have Hillary Duff during a pretty high period of her fame, I don't think Taylor Swift playing someone who isn't herself or an Expy (like how the character Colbert's playing in the S3 Elsbeth premiere is an Expy of himself-as-host-of-The-Late-Show  (#SaveTheLateShow))  would be too much requiring-audiences-to-suspend-disbelief

Whereas; even if she's too busy and "Taylor freaking Swift" to be any more than just a guest star SVU could always use more strong women and maybe even if the character Taylor's playing has a job nothing like hers her story could still touch on the same general issue as something Taylor's experienced in her life and/or wants to raise awareness about to make the role feel just that more personal.

Whereas; she's acted before (even if you want to deny there's a Cats movie she's been in movies like Amsterdam, The Lorax, Valentine's Day etc.) and it's not like a pop star guesting on a crime show playing not-themselves is a new thing, Billie Eilish was on Swarm, Jelly Roll was on Fire Country, and, heck, even the example I mentioned before counts with Hillary Duff on SVU

Whereas; shows like SVU are often stereotyped as for "boomers", as long as it didn't read as too "how do you do fellow kids" having Taylor on would be a way to stop the lack of youth viewership from becoming a self-defeating loop

Therefore;  while she has the time to be able to (as the show would have time when she was), Taylor Swift should guest star on Law & Order: SVU

#TaylorOnSVU #GetOnTheShowGirl (latter hashtag is a pun as the aforementioned upcoming album that w/e ScreenRant writer was afraid would make her not able to have this opportunity is called The Life Of A Showgirl)