Bile Blight has only one target. Other creatures with that name are not targeted. For example, a creature with hexproof will still get -3/-3 if it has the same name as the target creature.

If the target creature is an illegal target as Bile Blight tries to resolve, it will be countered and none of its effects will happen. No creature will get -3/-3.

The name of a creature token is the same as its creature types, unless the token is a copy of another creature or the effect that created the token specifically gives it a different name. For example, a 1/1 Cat Soldier creature token is named “Cat Soldier.”