Another story is so similar to “Last Rites” by Ray Bradbury that I think the author was inspired by him.
And he has probably said so!
“The Dark Backward” by astrophysicist Gregory Benford .
It partially matches the description.
It is more recent – 1993 - which gave me to doubt “The Last Rites”, but hauntingly similar.
I'm trying to remember / find a short story (a few pages, if that)….
It is a short story, and not what I think of as a “long short story”.
I believe it was in a collection of other stories (which makes trying to pin it down or search for it that much harder).
ISFDB shows it in several collections, and for another story I got it in More Amazing Stories, 1998.
about a time traveler (possibly rogue(?)
The time traveler did go rogue!
She steals – “borrows” – a university time machine, attempting to sneak back before being caught and arrested.
She visits, and attempts to encourage and to record, Shakespeare:
“You deserve to know that we in the future will appreciate you, love you, revere you. It’s only justice that you know your works will live forever, be honored---”
“No, no. You deserve to know that we in the future will appreciate you, love you, revere you. It’s only justice that you know your works will live forever, be honored---”
It does not go over well.
Both intelligent, perceptive men, both with whatever superstitions or emotional disturbances already trouble them, react to someone who claims to know the future:
“Go! Christ immaculate, drive such phantoms from me!”
“You a critic? Got no use for sneaky bastards come right into your house, beady-eyed nobodies, ask you how you write like it was how you sh-t---”
From the question:
Upon leaving the most recent encounter, the time traveler is met by another time traveler who tells him that his mission was inspirational and an entire organization sprung up to tell people about their importance just before their death... and that he was to die in a time machine accident.
The matches to the question:
Unlike in “Last Rites”, this protagonist does meet another time traveler.
A slim man materialized at the snub end of the cylinder. He wore a curious blue envelope that
revealed only head and hands, his skin a smooth green.
“Ah, he said in a heavily accented tenor. “I have intersected you in time.”
It has a darker twist ending than “Last Rites”.
Although the protagonist is not a “he”, and the visitor does not - and probably can not - say anything about what will happen to her in her future, the pattern of his praise gives her a dreadful realization.
He spoke rapidly, admiration beaming in his odd face, the words piling up in an awful leaden weight that sent bile-dark fear rushing hotly through her, a massive premonition.
“So, Vitrovna, I saw the possibility of making this intersection. It’s only right that you know just how famous you will be. . .”