The correct answer is A. The love of my life walked out of the door, a cappuccino in her hand.
Explanation:
In grammar, an absolute phrase refers to a phrase (set of words) that modifies a complete or independent sentence. In this way, in the case presented the phrase "a cappuccino in her hand" is absolute because it modifies the sentence "The love of my life walked out of the door".
Besides this, in terms of punctuation, absolute phrases are connected to the independent sentence they modify only through a comma. This implies the correct sentence is "The love of my life walked out of the door, a cappuccino in her hand" because in this, the comma is used to connect the absolute phrase and the sentence that is modified.