Among the effects of Wild Shapes, these two:
Your game Statistics are replaced by the Statistics of the beast, but you retain your alignment, personality, and Intelligence, Wisdom, and Charisma scores. You also retain all of your skill and saving throw proficiencies, in addition to gaining those of the creature. If the creature has the same proficiency as you and the bonus in its stat block is higher than yours, use the creature's bonus instead of yours. If the creature has any legendary or lair actions, you can't use them.
You retain the benefit of any features from your class, race, or other source and can use them if the new form is physically capable of doing so. However, you can't use any of your Special senses, such as Darkvision, unless your new form also has that sense (PHB p.67, "Wild Shape")
Seem to come into conflict with each other when things like Draconic Resilience:
When you aren't wearing armor, your AC equals 13 + your Dexterity
modifier. (PHB p.102, "Draconic Bloodline")
While you are not wearing any armor, your Armor Class equals 10 + your Dexterity modifier + your Constitution modifier. You can use a Shield and still gain this benefit.
Beginning at 1st level, while you are wearing no armor and not wielding a Shield, your AC equals 10 + your Dexterity modifier + your Wisdom modifier.
and Stone Sorcerers:
As an action, you can gain a base AC of 13 + your Constitution modifier if you aren’t wearing armor, and your skin assumes a stony appearance. This effect lasts until you end it as a bonus action, you are incapacitated, or you don armor other than a shield.
How would these resolve?