If Nottingham Forest had drawn then they would have played in the UEL next season because they have a better goal difference than Aston Villa. But Chelsea are not an opponent they can beat easily. What Nottingham Forest have done this season is really amazing. Yes they managed to be in third place in the standings for a long time but they have a number of points that are not much different from the teams below them. Forest have also performed very badly in their last 5 games with only 1 win, 2 draws and 2 losses. Fans are certainly disappointed but this is not City, Arsenal or Liverpool. Nottingham Forest are the underdogs and it would be a miracle if they managed to qualify for European competition. I think this result is very good for them. Yes they can try to fight harder next season.
True though, if they had drawn but they didn't because Chelsea acted as the team that needed the three points most, they went for it and got it. This is another reason why it's better to accumulate more points than goals because it's points that's first considered before goals. Although, at the initial stage, most of us thought Nottingham Forest was going to qualify for the champions league giving the way they played and how they even won some of the top teams, not so many of us would believe Nottingham won't make it. But it is what's it is.