Blue
Ravenous Bugblatter Beast of Traal
There are a number of spells that have two ranges - both Self and a distance. Just about every cone or line spell, for instance.
Gust of Wind
Range: Self (60-foot line)
Reading the description of Range in regards to spells (PHB 202), range is the part listed in feet for most spells, while they "also have a range of self, indicating that the origin point of the spell's effect must be you".
Distant spell says "When you cast a spell that has a range of 5 feet or greater..."
(I also checked the PHB Errata and the Sage Advice compendium, no referense in either.)
So, by RAW it seems that Distant spell does quality - the Range section on spells indicate that the range of those spells has an amount in feet and a second part of self - both are range. Does this spell have a range of 5 ft or greater? Yes, it does. (It does not say "Unless it's range is self or touch", which would also be true by the other range for the spell.) So distant spell should apply.
That's not how I'd run it at my table though. D&D 5e is big about no keywords, and the area of effect being listed there for some spells but in the text of other spells like fireball I don't feel should be a meaningful distinction. Distant Spell is intended to affect range, not area of effect, so I would not allow it to increase the AOE portion, only the point-of-origin portion. Since the point of origin is Self, it doesn't qualify for Distant spell.
Gust of Wind
Range: Self (60-foot line)
Reading the description of Range in regards to spells (PHB 202), range is the part listed in feet for most spells, while they "also have a range of self, indicating that the origin point of the spell's effect must be you".
Distant spell says "When you cast a spell that has a range of 5 feet or greater..."
(I also checked the PHB Errata and the Sage Advice compendium, no referense in either.)
So, by RAW it seems that Distant spell does quality - the Range section on spells indicate that the range of those spells has an amount in feet and a second part of self - both are range. Does this spell have a range of 5 ft or greater? Yes, it does. (It does not say "Unless it's range is self or touch", which would also be true by the other range for the spell.) So distant spell should apply.
That's not how I'd run it at my table though. D&D 5e is big about no keywords, and the area of effect being listed there for some spells but in the text of other spells like fireball I don't feel should be a meaningful distinction. Distant Spell is intended to affect range, not area of effect, so I would not allow it to increase the AOE portion, only the point-of-origin portion. Since the point of origin is Self, it doesn't qualify for Distant spell.