Readers are extremely picky about their prologues. It's the first thing they're expected to read, welcoming them to the world of the story, after all. A boring or nonsensical prologue can make them fearful that the rest of the story will be infodumpy or poorly paced.
In my opinion, prologues should be a 'taste' of the story rather than too vague or too lore-dump-y. If you're gonna spend a while on worldbuilding and setting things up, use the prologue to give a glimpse the action or intrigue that appears later on. If you want to explore certain themes or questions in your story, use the prologue to start bringing those themes up. If you want your lead to be an unreliable narrator, have the prologue be another character observing them from an outside perspective. If you want to start setting up a particular important character, like a major villain, hype us up by showing why they're so cool or terrifying.
Or be like me, and try to do almost all these things at once. I've actually gotten a comment that the prologue, though perhaps the longest or second-longest chapter in the first volume of my story, added something necessary and beneficial to the story, promising readers that the stakes would eventually increase. :P
10,000 words may be a liiittle lengthy unless all your normal chapters will be of similar, or greater, length, though.
For a transmigration novel I don't think it's necessary, it'd be better to give readers little bits and pieces of the MC's backstory over a longer period of time. Perhaps they distrust a character in the present because they met someone similar in their past life who screwed them over, or they always do a certain routine because that's what their beloved dead mentor taught them. Stuff like that.
Personally for a prologue, I'd recommend just writing out a single scene from their life so the audience asks 'Whoah! What could've made them turn out like that!?"
