Wow I’m actually in the exact situation as you!
Professionals say you should only re-dye after 1-2 weeks to be safe and to prevent further damage, which is what i’m gonna do :)
But howeeeever (i probably shouldn’t be saying this), i’ve re-dyed it 2 days after the first dye before, and the colour turned out fine - people on hair blogs have done this too. But i wouldn’t recommend that if you want your hair to be as healthy as possible haha