Chris Wood will unlikely be in the champions league next season.
True, and a bunch of results have to go their way even if they win at home, but unlikely doesn't mean impossible: looking at the Forest/Chelsea, Villa, NUFC and City games, I work it out as 54/81 possible outcomes see them 7th, 3/81 see them 6th, and 24/81 (30%) see them 5th or higher.
Edit: That's not taking GD into account, but it gives a rough idea.