I would probably leave it in. It's the title of the play- the playwright's words not yours. Actually, I'd list it however it was listed on the poster.
Obviously you are referring to the "Stupid F*cking Bird" play that you are currently doing. The f-word is a touchy one for some people, but if your company got away with advertising as such in a newspaper and on posters, go for it. If they edited it, then maybe you should too.
Out of curiosity would anyone consider changing the name "Damn Yankees" on their resume?