The correct answer is C. Jaye, who has three dogs, just adopted a puppy from the shelter.
Step-by-step explanation:
A non-restrictive modifier is a clause or phrase that describes a noun. Additionally, this differs from other modifiers because this is not essential. This implies the modifier is enclosed by commas and can be deleted without making the sentence incomplete.
In this context, the only option that includes a correctly punctuated non-restrictive modifier is "Jaye, who has three dogs, just adopted a puppy from the shelter" because the section "who has three dogs" describes the noun "Jaye", this modifier can be omitted, which means it is not essential and it is enclosed by commas.