The answer is A. Appositive phrase is basically describing or renaming the noun in either long or short combination of words. For example: the insect, a cockroach, is in my room. A cockroach is the appositive phrase.
Explanation: a participle is a word formed from a verb and used as an adjective or a noun. A participle phrase is a group of words consisting of a participle and its modifiers (direct objects, indirect objects, or complements). In the given sentence, the phrase in brackets (sol at the farm store) is an example of a participle phrase (the participle is "sold") that acts as an adjective that is modifying the noun "pie."
This is because there are two made up people and it is written in the third person. If it was 'self' then it would include the word 'I' or 'me'. Also fate and nature would not make sense because they are not living things like characters.