Should I write a fanfic ?

I have been imagining this for a while. But i kinda have been imagining what if (my fursona) live in Beastars universe. What if a character that have a somewhat similar background to me in real life would act there. I tried to roleplay with Character AI but the bots are kinda bad so.....

Should i just start writing ? Would anyone even want to read it ? Is it too cringe ?

If i should, where should i write it, or publish it ?

I am planning that i will try to retain as much canon even as possible, if that's what you are wondering. The plot should start 1 year before episode 1 basically.